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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it

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1
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2
%%
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%W manual.bib ANUPQ documentation Werner Nickel
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%%
5
%%
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%% manual.bib - BibTeX database file of ANUPQ references
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@ARTICLE{NNN98,
9
AUTHOR = {Newman, M. F. and Nickel, Werner and Niemeyer, Alice C.},
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TITLE = {Descriptions of groups of prime-power order},
11
JOURNAL = {J. Symbolic Comput.},
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FJOURNAL = {Journal of Symbolic Computation},
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VOLUME = {25},
14
YEAR = {1998},
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NUMBER = {5},
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PAGES = {665--682},
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ISSN = {0747-7171},
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MRCLASS = {20F05 (68Q40)},
19
MRNUMBER = {99f:20054},
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MRREVIEWER = {Michael C. Slattery},
21
}
22
23
@article{LGS90,
24
AUTHOR = {Leedham-Green, C. R. and Soicher, L. H.},
25
TITLE = {Collection from the left and other strategies},
26
NOTE = {Computational group theory, Part 1},
27
JOURNAL = {J. Symbolic Comput.},
28
FJOURNAL = {Journal of Symbolic Computation},
29
VOLUME = {9},
30
YEAR = {1990},
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NUMBER = {5-6},
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PAGES = {665--675},
33
}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%
37
%E
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40
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%
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%S Series . . . . . . . . . . . . . . . . . . . . abbreviations for series
44
%%
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%% The following strings are abbreviations for series, which are used in
46
%% *books*, *inbook*, and *proceedings*.
47
%%
48
@string{ AachenBM = "Aachener Beitr{\accent127a}ge zur Mathematik" }
49
@string{ BayreuMS = "Bay\-reu\-ther Math. Schr." }
50
@string{ GMathWiss = "Grundlehren Math. Wiss." }
51
@string{ LMSLec = "London Math. Soc. Lecture Note Series" }
52
@string{ LMSMon = "London Math. Soc. Monographs" }
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@string{ LNM = "Lecture Notes in Math." }
54
@string{ OxfordMM = "Oxford Math. Monographs" }
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56
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%
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%S Schools, Institutions, Organizations . . . . . abbreviations for schools
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%%
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%% The following strings are abbreviations for schools, institutions, and
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%% organizations, which are used in *masterthesis* (schools), *techreports*
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%% (institutions), and *manuals* (organizations).
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%%
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@string{ DublinIAS = "Dublin Inst. Adv. Studies" }
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@string{ RWTH = "Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche
68
Hoch\-schule" }
69
@string{ RWTHLDfM = "Lehr\-stuhl D f{\accent127 u}r Ma\-the\-ma\-tik,
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Rhei\-nisch West\-f{\accent127a}li\-sche Tech\-ni\-sche
71
Hoch\-schule" }
72
@string{ RWTH-A = "Aachen, Germany" }
73
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@string{ UBath = "University of Bath" }
75
@string{ UBathSMS = "School of Mathematical Sciences,
76
University of Bath" }
77
@string{ UBath-A = "Bath, United Kingdom" }
78
79
@string{ UBayreu = "Universit{\accent127a}t Bayreuth" }
80
@string{ UBayreu-A = "Bayreuth, Germany" }
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@string{ UBonn = "Rheinische Friedrich Wilhelm Universit{\accent127a}t
83
Bonn" }
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@string{ UBonn-A = "Bonn, Germany" }
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@string{ UEssen = "Universit{\accent127a}t Essen" }
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@string{ UEssen-A = "Essen, Germany" }
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89
@string{UHeidel = "Universit{\accent127a}t Heidelberg" }
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@string{ UKiel = "Universit{\accent127a}t Kiel" }
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@string{ UKiel-A = "Kiel, Germany" }
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@string{ McGillU = "McGill University" }
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@string{ McGillU-A = "Montreal, Canada" }
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@string{ USydney = "University of Sydney" }
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@string{ USydBDCS = "Basser Department of Computer Science,
99
University of Sydney" }
100
@string{ USydDPM = "Department of Pure Mathematics,
101
University of Sydney" }
102
@string{ USydney-A = "Sydney, Australia" }
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%
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%S Publishers . . . . . . . . . . . . . . . . abbreviations for publishers
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%%
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%% The following strings are abbreviations for publishers, which are used in
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%% *books*, *inbook*, and *proceedings*.
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%%
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@string{ AcaPress = "Academic Press" }
113
@string{ ACM = "ACM Press" }
114
@string{ AddWes = "Addison-Wesley" }
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@string{ AMS = "American Mathematical Society" }
116
@string{ Birkhaeus = "Birkh{\accent127a}user, Basel" }
117
@string{ BIWissV = "BI-Wis\-sen\-schafts\-ver\-lag, Mannheim" }
118
@string{ CamUPress = "Cambridge University Press" }
119
@string{ Dover = "Dover Publications, New York" }
120
@string{ Gruyter = "Walter de Gruyter, Berlin, New York" }
121
@string{ HDeutsch = "Verlag Harri Deutsch, Frankfurt/Main" }
122
@string{ Macmillan = "The Macmillan Company, New York" }
123
@string{ OxUnPress = "Oxford University Press" }
124
@string{ Pergamon = "Pergamon Press, Oxford" }
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@string{ Springer = "Springer, Berlin, Heidelberg and New York" }
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@string{ Wiley = "John Wiley, New York" }
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@string{ Reidel = "Reidel, Dordrecht, Boston" }
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%
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%R References . . . . . . . . . . . . . . . . . . . . . . . . . references
133
%%
134
%% The following are the references. They are ordered with respect to the
135
%% last name of the first author.
136
%%
137
@phdthesis{Abb89,
138
author = "J.~A.~Abbott",
139
title = "On the Factorization of Polynomials over Algebraic Fields",
140
school = UBathSMS,
141
month = "September",
142
year = "1989",
143
}
144
145
@Article{AL82,
146
author = "D. Alvis and G. Lusztig",
147
title = "The representations and generic degrees of the {Hecke}
148
algebra of type {$H_4$}",
149
journal = "J. reine angew. Math.",
150
year = 1982,
151
volume = 336,
152
pages = "201--212",
153
note = "Correction\:\ ibid. {\bf 449}, 217--218 (1994)"
154
}
155
156
@Article{Alv87,
157
author = "Alvis, D.",
158
title = "The left cells of the {Coxeter} group of type {$H_4$}",
159
journal = JALGE,
160
year = 1987,
161
volume = 107,
162
pages = "160--168"
163
}
164
165
@inproceedings{AMW82,
166
author = "D[avid] G. Arrell and
167
S[anjiv] Manrai and
168
M[ichael] F. Worboys",
169
title = "A procedure for obtaining simplified defining
170
relations for a subgroup",
171
crossref = "GrpsStAndrews81",
172
pages = "155--159",
173
keywords = "finitely presented groups;
174
subgroup presentation, simplification;
175
modified Todd Coxeter (mtc), tree decoding;
176
algorithm description",
177
reviews = "MR 84a:20041 (from the introduction),
178
Zbl 488.20003 (J. Neub{\accent127u}ser)",
179
}
180
181
@inproceedings{AR84,
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author = "D[avid] G. Arrell and
183
E[dmund] F. Robertson",
184
title = "A modified {T}odd-{C}oxeter algorithm",
185
crossref = "Durham1982",
186
booktitle = "Computational Group Theory,
187
Proceedings LMS Symposium on Computational Group Theory,
188
Durham 1982",
189
pages = "27--32",
190
keywords = "finitely presented groups;
191
subgroup presentation, simplification;
192
modified Todd Coxeter (mtc), tree decoding;
193
algorithm description",
194
reviews = "MR 86g:20042 (J.~D. Macdonald),
195
Zbl 556.20001 (J. Neub{\accent127u}ser)",
196
}
197
198
@book{Art68,
199
author = "E[mil] Artin",
200
title = "Galoissche Theorie",
201
year = "1968",
202
publisher = HDeutsch,
203
}
204
205
@phdthesis{Bau91,
206
author = "Ulrich Baum",
207
title = "Existenz und effiziente {K}onstruktion schneller
208
{F}ouriertransformationen
209
{\accent127u}beraufl{\accent127o}sbarer {G}ruppen",
210
type = "Dissertation",
211
year = "1991",
212
school = UBonn,
213
address = UBonn-A,
214
}
215
216
@article{BC94,
217
author = "Ulrich Baum and
218
Michael Clausen",
219
title = "Computing irreducible representations
220
of supersolvable groups",
221
journal = MATHC2,
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volume = "207",
223
pages = "351--359",
224
year = "1994",
225
}
226
227
@inproceedings{BCFS91,
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author = "L[\'aszl\'o] Babai and
229
G[ene] Cooperman and
230
L[arry] Finkelstein and
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\'A[kos] Seress",
232
title = "Nearly Linear Time Algorithms for Permutation Groups with
233
a Small Base",
234
pages = "200--209",
235
crossref = "ISSAC91",
236
}
237
238
@article{BC76,
239
author = "M[ichael] J. Beetham and
240
C[olin] M. Campbell",
241
title = "A note on the {T}odd-{C}oxeter coset enumeration
242
algorithm",
243
journal = PROEM,
244
volume = "20",
245
pages = "73--79",
246
year = "1976",
247
keywords = "finitely presented groups;
248
subgroup presentation;
249
modified Todd Coxeter (mtc);
250
algorithm description",
251
reviews = "MR 53 # 3116 (D.~L. Johnson),
252
Zbl 328.20032 (Summary)"
253
}
254
255
@Article{Ben76,
256
author = "M. Benard",
257
title = "{S}chur indices and splitting fields of the unitary
258
reflection groups",
259
journal= JALGE,
260
year= 1976,
261
volume= 38,
262
pages= "318--342"
263
}
264
265
@Article{BC72,
266
author = "C. T. Benson and C. W. Curtis",
267
title = "On the degrees and rationality of certain characters of
268
finite {Chevalley} groups",
269
journal = TRAAM,
270
year = 1972,
271
volume = 165,
272
pages = "251--273"
273
}
274
275
@article{Ber76,
276
author = "T. R. Berger",
277
title = "Characters and Derived Length in Groups of Odd Order",
278
journal = JALGE,
279
volume = "39",
280
pages = "199--207",
281
year = "1976",
282
}
283
284
@mastersthesis{Besche92,
285
author = "Hans Ulrich Besche",
286
title = "Die {B}erechnung von {C}haraktergraden und {C}harakteren
287
endlicher aufl{\accent127 o}sbarer {G}ruppen
288
im {C}omputeralgebrasystem {GAP}",
289
type = "Diplomarbeit",
290
year = "1992",
291
school = RWTHLDfM,
292
address = RWTH-A,
293
}
294
295
@article{BescheEick98,
296
author = "Hans Ulrich Besche and Bettina Eick",
297
title = "Construction of finite groups",
298
journal = JSYMC,
299
pages = "387--404",
300
volume = 27,
301
number = 4,
302
year = "1999"}
303
304
@article{BescheEick1000,
305
author = "Hans Ulrich Besche and Bettina Eick",
306
title = "The groups of order at most 1000 except 512 and 768",
307
journal = JSYMC,
308
pages = "405--413",
309
volume = 27,
310
number = 4,
311
year = "1999"}
312
313
@article{BescheEick768,
314
author = "Hans Ulrich Besche and Bettina Eick",
315
title = "The groups of order $q^n \cdot p$",
316
journal = "Comm. Alg.",
317
volume = 29,
318
number = 4,
319
year = "2001",
320
pages = "1759--1772"}
321
322
@article{BEO00,
323
author = {Hans Ulrich Besche and Bettina Eick and E. A. O'Brien},
324
title = {The groups of order at most 2000},
325
journal = {Electronic Research Announcements of the AMS},
326
volume = 7,
327
pages = {1 -- 4},
328
year = 2001 }
329
330
@article{BEO01,
331
author = {Hans Ulrich Besche and Bettina Eick and E. A. O'Brien},
332
title = {A millenium project: constructing small groups},
333
journal = {IJAC},
334
volume = {12},
335
pages = {623 -- 644},
336
year = 2002}
337
338
339
@article {BFS79,
340
author = {Beyl, F. Rudolf and Felgner, Ulrich and Schmid, Peter},
341
title = {On groups occurring as center factor groups},
342
journal = {J. Algebra},
343
volume = {61},
344
year = {1979},
345
number = {1},
346
pages = {161--177},
347
}
348
349
@article{EOB99,
350
author = {Bettina Eick and E. A. O'Brien},
351
title = {Enumerating $p$-groups},
352
journal = {J. Austral. Math. Soc.},
353
volume = 67,
354
pages = {191 -- 205},
355
year = 1999 }
356
357
@inproceedings{EOB98,
358
author = {Bettina Eick and E. A. O'Brien},
359
title = {The groups of order 512},
360
editor = {Greuel, Hiss, Matzat},
361
booktitle = {Proceedings of `Abschlusstagung des DFG Schwerpunktes
362
Algorithmische Algebra und Zahlentheorie in Heidelberg},
363
publisher = {Springer},
364
year = 1998}
365
366
@article{NOV04,
367
author = {M.F. Newman and E.A. O'Brien and M.R. Vaughan-Lee},
368
title = {Groups and nilpotent Lie rings whose order is the sixth of
369
a prime},
370
journal = {J. Alg.},
371
volume = {278},
372
pages = {383 -- 401},
373
year = 2003}
374
375
@article{OV05,
376
AUTHOR = {O'Brien, E. A. and Vaughan-Lee, M. R.},
377
TITLE = {The groups with order {$p\sp 7$} for odd prime {$p$}},
378
JOURNAL = {J. Algebra},
379
FJOURNAL = {Journal of Algebra},
380
VOLUME = {292},
381
YEAR = {2005},
382
NUMBER = {1},
383
PAGES = {243--258},
384
ISSN = {0021-8693},
385
CODEN = {JALGA4},
386
MRCLASS = {20D15 (17B30)},
387
MRNUMBER = {MR2166803 (2006d:20038)}}
388
389
@misc{Gir03,
390
author = {Boris Girnat},
391
title = {{Klassifikation der Gruppen bis zur Ordnung $p^5$}},
392
year = 2003,
393
howpublished = {{Staatsexamensarbeit, TU Braunschweig}}}
394
395
@article{DEi05,
396
author = {Heiko Dietrich and Bettina Eick},
397
title = {Groups of cube-free order},
398
journal = {Accepted by J. Alg.},
399
year = {2005} }
400
401
@mastersthesis{Bis89,
402
author = "Thomas Bischops",
403
title = "Collectoren im {P}rogrammsystem {GAP}",
404
type = "Diplomarbeit",
405
year = "1989",
406
school = RWTHLDfM,
407
address = RWTH-A,
408
}
409
410
@techreport{BC92,
411
author = "Wieb Bosma and
412
John [J.] Cannon",
413
title = "Handbook of {Cayley} Functions",
414
year = "1992",
415
institution = USydDPM,
416
address = USydney-A,
417
keywords = "system design;
418
Cayley;;
419
manual",
420
notes = "PAGES: 282",
421
}
422
423
@Book{Bou68,
424
author = "Bourbaki, N.",
425
title = "Groupes et alg{\accent18e}bres de {L}ie, {C}h.~4--6",
426
publisher = "Hermann, Paris",
427
year = 1968,
428
note = "Masson, Paris\:\ 1981"
429
}
430
431
@article{BC89,
432
author = "Richard P. Brent and
433
Graeme L. Cohen",
434
title = "A New Lower Bound for Odd Perfect Numbers",
435
journal = MATHC3,
436
volume = "53",
437
pages = "431--437",
438
year = "1989",
439
}
440
441
@mastersthesis{Bre91,
442
author = "Thomas Breuer",
443
title = "Potenzabbildungen, {U}ntergruppenfusionen,
444
{T}afel-{A}utomorphismen",
445
type = "Diplomarbeit",
446
year = "1991",
447
school = RWTHLDfM,
448
address = RWTH-A,
449
}
450
451
@article{BL96,
452
author = "Thomas Breuer and
453
Klaus Lux",
454
title = "The multiplicity-free permutation characters
455
of the sporadic simple groups
456
and their automorphism groups",
457
journal = "Comm. Alg.",
458
volume = "24",
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number = "7",
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year = "1996",
461
pages = "2293--2316",
462
}
463
464
@article{Bre97,
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author = "Thomas Breuer",
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title = "Integral Bases for Subfields of Cyclotomic Fields",
467
journal = "AAECC",
468
volume = "8",
469
year = "1997",
470
pages = "279--289",
471
}
472
473
@article{BP98,
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author = "Thomas Breuer and
475
G{\accent127o}tz Pfeiffer",
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title = "Finding {P}ossible {P}ermutation {C}haracters",
477
journal = JSYMC,
478
volume = "26",
479
year = "1998",
480
pages = "343--354",
481
}
482
483
@inproceedings{BreuerLinton98,
484
author = "Thomas Breuer and Steve Linton",
485
title = "The {GAP~4} Type System. Organizing Algebraic Algorithms",
486
crossref = "ISSAC98",
487
pages = "38--45"
488
}
489
490
@article{Bre99,
491
author = "Thomas Breuer",
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title = "{C}omputing {P}ossible {C}lass {F}usions from {C}haracter
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{T}ables",
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journal = COMMA2,
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volume = "27",
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number = "6",
497
year = "1999",
498
pages = "2733--2748",
499
}
500
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@inbook{BN95,
502
author = "Thomas Breuer and Simon P.~Norton",
503
title = "Improvements to the {A}tlas",
504
crossref = "JLPW95",
505
pages = "297--327",
506
}
507
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@Article{Bri71,
509
author = "Brieskorn, E.",
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title = "Die {Fundamentalgruppe} des {Raumes} der
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regul{\accent127a}ren {Orbits} einer endlichen komplexen
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{Spiegelungsgruppe}",
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journal = INVEM,
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year = 1971,
515
volume = 12,
516
pages = "57--61"
517
}
518
519
@Article{BS72,
520
author = "E. Brieskorn and K. Saito",
521
title = "{A}rtin-{G}ruppen und {C}oxeter-{G}ruppen",
522
journal = INVEM,
523
year = 1972,
524
volume = 17,
525
pages = "245--271"
526
}
527
528
@InCollection{BM93,
529
author = "M. Brou{\accent19e} and G. Malle",
530
title = "Zyklotomische {H}eckealgebren",
531
crossref = "Asterisque212",
532
pages = "119--189"
533
}
534
535
@InCollection{BMM93,
536
author = "M. Brou{\accent19e} and G. Malle and J. Michel",
537
title = "Generic blocks of finite reductive groups",
538
crossref = "Asterisque212",
539
pages = "7--92"
540
}
541
542
@BOOK{Asterisque212,
543
author = "M. Brou{\accent19e} and G. Malle and J. Michel",
544
title = "Repr{\accent19e}sentations
545
unipotentes g{\accent19e}n{\accent19e}riques
546
et blocs des groupes r{\accent19e}ductifs finis",
547
booktitle = "Repr{\accent19e}sentations
548
unipotentes g{\accent19e}n{\accent19e}riques
549
et blocs des groupes r{\accent19e}ductifs fini",
550
publisher = "Soci{\accent19e}t{\accent19e} {M}ath{\accent19e}matique
551
de {F}rance",
552
series = "Ast{\accent19e}risque",
553
volume = 212,
554
year = 1993
555
}
556
557
@book{Baker84,
558
author = "Baker, Alan",
559
title = "A concise introduction to the theory of numbers",
560
year = 1984,
561
publisher = CamUPress,
562
pages = "27-33"
563
}
564
565
@book{BCN89,
566
author = "A.E. Brouwer and
567
A.M. Cohen and
568
A. Neumaier",
569
title = "Distance-Regular Graphs",
570
year = "1989",
571
publisher = Springer,
572
}
573
574
@book{BBNWZ78,
575
author = "Harold Brown and
576
Rolf B{\accent127u}low and
577
Joachim Neub{\accent127u}ser and
578
Hans Wondratschek and
579
Hans Zassenhaus",
580
title = "Crystallographic Groups of Four-Dimensional Space",
581
year = "1978",
582
publisher = Wiley,
583
}
584
585
@article{BCMa,
586
Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
587
Title = "Some Recognizable Properties of Solvable Groups",
588
Journal = "Math. Z.",
589
Year = {1981},
590
Volume = {178},
591
Pages = {289--295}
592
}
593
594
@article{BCMb,
595
Author = "G. Baumslag and F.B. Cannonito and C.F. {Miller III}",
596
Title = "Computable Algebra and Group Embeddings",
597
Journal = "J. Algebra",
598
Year = {1981},
599
Volume = {69},
600
Pages = {186--212}
601
}
602
603
@book{Bourbaki70,
604
author = "N. Bourbaki",
605
title = "{\'El\'ements de Math\'ematique, Alg\`ebre I}",
606
publisher = "Hermann, Paris",
607
year = 1970,
608
volume = 1
609
}
610
611
@article {BJR87,
612
author = {Brown, R. and Johnson, D. L. and Robertson, E. F.},
613
title = {Some computations of nonabelian tensor products of groups},
614
journal = {J. Algebra},
615
volume = {111},
616
year = {1987},
617
number = {1},
618
pages = {177--202},
619
}
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title = "Application of Computers to Questions like those of
1278
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1279
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1280
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1281
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1282
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1283
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1284
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1285
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1286
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1287
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1288
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1299
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1300
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1302
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1303
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type = "Communications Series A",
1891
number = "13",
1892
year = "1958",
1893
institution = DublinIAS,
1894
}
1895
1896
@article{MY79,
1897
author = "John McKay and Kiang Chuen Young",
1898
title = "The nonabelian simple groups of order less than 1000000
1899
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1900
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1901
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1902
year = "1979",
1903
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1904
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1905
mrnumber = "80d:20018",
1906
mrreviewer = "W. J. Wong"}
1907
1908
@manual{Nau90,
1909
author = "B.D. McKay",
1910
title = "{nauty} user's guide (version 1.5),
1911
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1912
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1913
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1914
address = "Computer Science Department, ANU"
1915
}
1916
1917
@phdthesis{Neb95,
1918
author = "Gabriele Nebe",
1919
title = "Endliche rationale {M}atrixgruppen vom {G}rad 24",
1920
series = AachenBM,
1921
volume = "12",
1922
year = "1995",
1923
type = "Dissertation",
1924
school = RWTH,
1925
address = RWTH-A,
1926
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1927
1928
@article{Neb96,
1929
author = "Gabriele Nebe",
1930
title = "Finite subgroups of {$GL_n(\Q)$} for $25 \leq n \leq 31$",
1931
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1932
volume = "24 (7)",
1933
pages = "2341--2397",
1934
year = "1996",
1935
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1936
1937
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1938
author = "Joachim Neub{\accent127u}ser",
1939
title = "Die {U}ntergruppenverb{\accent127a}nde der {Gruppen} der
1940
{Ordnungen} $\leq 100$ mit {Ausnahme} der {Ordnungen}
1941
64 und 96",
1942
type = "Habilitationsschrift",
1943
year = "1967",
1944
school = UKiel,
1945
address = UKiel-A,
1946
notes = "PAGES: 370",
1947
}
1948
1949
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1950
author = "Joachim Neub{\accent127u}ser",
1951
title = "An elementary introduction to coset table methods in
1952
computational group theory",
1953
crossref = "GrpsStAndrews81",
1954
pages = "1--45",
1955
keywords = "finitely presented groups;
1956
subgroup presentation, permutation representation,
1957
low index subgroups;
1958
Todd Coxeter (tc), modified Todd Coxeter (mtc);
1959
algorithm description, survey",
1960
reviews = "MR 84f:20004 (George Havas),
1961
Zbl 489.20003 (G. Butler)",
1962
}
1963
1964
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1965
author = "J{\accent127u}rgen Neukirch",
1966
title = "Algebraische {Z}ahlentheorie",
1967
publisher = Springer,
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year = 1992}
1969
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author = "G[abriele] Nebe and
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pages = "74--144",
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}
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1978
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1979
author = "G[abriele] Nebe and
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W[ilhelm] Plesken",
1981
title = "Finite rational matrix groups",
1982
series = "AMS Memoirs",
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volume = "556",
1984
year = "1995",
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publisher = AMS,
1986
notes = "PAGES: 144",
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}
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1992
W[ilhelm] Plesken",
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title = "{CAS};
1994
Design and use of a system for the handling of
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1996
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pages = "195--247",
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keywords = "ordinary representations;
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characters",
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reviews = "MR 86i:20004 (D. Hales),
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Zbl 546.20001 (G. Butler)",
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}
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author = "J[oachim] Neub{\accent127u}ser and
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W[ilhelm] Plesken and
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H[ans] Wondratschek",
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title = "An emendatory discursion on defining crystal systems",
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keywords = "finitely presented groups, p-groups;; nilpotent quotient;
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application",
2025
reviews = "MR 56 # 12115 (Bruce W. King),
2026
Zbl no ref",
2027
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title = "A {CAYLEY} library for the groups of order dividing 128",
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pages = "437--442"
2045
}
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2048
author = "Felix Noeske",
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title = "{Zur Darstellungstheorie der Schurschen Erweiterungen
2050
symmetrischer Gruppen}",
2051
type = "Diplom\-ar\-beit",
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school = RWTHLDFM,
2053
year = "2002",
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}
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2103
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2105
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2111
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2116
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2117
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2118
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2119
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2126
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2127
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2128
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2129
2130
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2131
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2132
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2133
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2134
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2135
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2136
year = "1991",
2137
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2141
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2143
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2144
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2145
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2147
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2153
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2154
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2155
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2156
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2157
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2158
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2159
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2163
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2164
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2170
{H}ow to {C}ompute the {T}able of {M}arks of a {F}inite {G}roup",
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2173
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2200
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2201
note = "The paper is available at
2202
Lehrstuhl B f{\accent127u}r Mathematik,
2203
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2205
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2206
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2207
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crossref = "NPbook95",
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2221
{I}. The five and seven dimensional cases,
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{II}. The six dimensional case",
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2228
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2234
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2235
{III}. The nine dimensional case,
2236
{IV}. Remarks on even dimensions with application to n = 8,
2237
{V}. The eight dimensional case and a complete description
2238
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2239
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2245
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2246
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2250
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2251
volume = "4",
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2253
year = "1987",
2254
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2255
2256
@Article{Ram91,
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2258
title = "A {F}robenius formula for the characters of the {H}ecke
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2260
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2261
year = 1991,
2262
volume = 106,
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pages = "461--488"
2264
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@manual{Ram99a,
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title = "{\tt ACE} for {Amateurs}",
2269
organization = "Centre for Discrete Mathematics and Computing,
2270
The University of Queensland",
2271
year = 1999,
2272
note = "Draft",
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@manual{Ram99,
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author = "C.~Ramsay",
2277
title = "{ACE} User Manual",
2278
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2279
organisation = "Centre for Discrete Mathematics and Computing",
2280
address = "Department of Computer Science \& Electrical Engineering
2281
and Department of Mathematics,
2282
The University of Queensland, QLD 4072, Australia",
2283
note = "Draft",
2284
}
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2286
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author = "Michael Ringe",
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2289
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2292
address = RWTH-A,
2293
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2295
@manual{Rin98,
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author = "Michael Ringe",
2297
title = "The {C} {M}eat{A}xe,
2298
Release 2.3",
2299
year = "1998",
2300
organization = RWTHLDfM,
2301
address = RWTH-A,
2302
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2304
@article{Rob88,
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2307
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2308
volume = "6",
2309
pages = "59--64",
2310
year = "1988",
2311
keywords = "finitely presented groups;
2312
simplification;
2313
Tietze transformations",
2314
}
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@article{RoneyDougal02,
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author = "Colva~M. Roney-Dougal and William R. Unger",
2318
title = "The affine primitive permutation groups of degree less than 1000",
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2328
journal = "To appear in Journal of Algebra",
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title = "Erweiterung einer {A}rithmetik von
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2402
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keywords = "permutation groups;
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primitive groups, classification of, stabilizer chain;
2415
Schreier Sims",
2416
reviews = "MR 41 # 1856 (H. Kimura),
2417
Zbl 215, 100 (J. McKay),
2418
CR 11 # 19,829 (G.~N. Raney)",
2419
notes = "RUSSIAN translation in:
2420
Computations in algebra and number theory (Russian), edited
2421
by B.~B. Venkov and D.~K. Faddeev, pp. 129--147,
2422
Matematika, Novoie v Zarubeznoi Naukie, vol. 2,
2423
Izdat. MIR, Moscow, 1976",
2424
}
2425
2426
@article{Sims90b,
2427
author = "Charles~C. Sims",
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title = "Computing the order of a solvable permutation group",
2429
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volume = 9,
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pages = "699--705",
2432
year = 1990}
2433
2434
@book{Sims94,
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Author = "C.~C. Sims",
2436
Title = "Computation with Finitely Presented Groups",
2437
Publisher = {Cambridge University Press},
2438
Year = {1994}
2439
}
2440
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@inproceedings{Sims97,
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author = "Charles~C. Sims",
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pages = "40--403"}
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2448
@manual{Sog89,
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title = "{SOGOS} - A Program System for Handling Subgroups of
2450
Finite Soluble Groups, version 5.0, User's reference manual",
2451
year = "1989",
2452
organization = RWTHLDfM,
2453
address = RWTH-A,
2454
keywords = "groups, finitely presented groups, polycyclic groups,
2455
nilpotent groups, p-groups;
2456
SOGOS, pc-presentation, ag-presentation, collection,
2457
elements, classes of conjugate elements,
2458
centralizer, normalizer, normal closure, intersection,
2459
sylow subgroups, derived subgroup, series,
2460
central series, p-central series, subgroup lattice,
2461
table of marks, complements, factor groups;
2462
nilpotent quotient (nq);
2463
manual",
2464
}
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2466
@inproceedings{Soi91,
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author = "L[eonard] H. Soicher",
2468
title = "{GRAPE}: a system for computing with graphs and groups",
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pages = "287-291",
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2473
@article{Sou94,
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author = "Bernd Souvignier",
2475
title = "Irreducible finite integral matrix groups of degree 8
2476
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2477
journal = MATHC3,
2478
volume = "63",
2479
pages = "335--350",
2480
year = "1994",
2481
}
2482
2483
@manual{Spa89,
2484
title = "{SPAS} - {S}ubgroup {P}resentation {A}lgorithms {S}ystem,
2485
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2486
key = "SPAS",
2487
year = "1989",
2488
organization = RWTHLDfM,
2489
address = RWTH-A,
2490
keywords = "finitely presented groups;
2491
SPAS, subgroup presentation, simplification,
2492
low index subgroups;
2493
Todd Coxeter (tc), modified Todd Coxeter (mtc),
2494
Reidemeister Schreier (rs),
2495
reduced Reidemeister Schreier (rrs),
2496
Tietze transformations, tree decoding;
2497
manual",
2498
}
2499
2500
@Book{Spr81,
2501
author = "Springer, T. A.",
2502
title = "Linear algebraic groups",
2503
publisher = Birkhaeus,
2504
year = 1981
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}
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@Article{Ste89,
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author = "Stembridge, J. R.",
2509
title = "On the eigenvalues of representations of reflection groups
2510
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2511
journal = "Pacific J. Math.",
2512
year = 1989,
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volume = 140,
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pages = "353--396"
2515
}
2516
2517
@article{Tay87,
2518
author = "D.~E.~Taylor",
2519
title = "Pairs of Generators for Matrix Groups. {I}",
2520
journal = "The Cayley Bulletin",
2521
volume = "3",
2522
year = "1987",
2523
}
2524
2525
@mastersthesis{Theissen93,
2526
author = "Heiko Thei{\ss}en",
2527
title = "{Methoden zur Bestimmung der rationalen
2528
Konjugiertheit in endlichen Gruppen}",
2529
type = "Diplomarbeit",
2530
school = RWTHLDFM,
2531
adress = RWTH-A,
2532
year = 1993}
2533
2534
@phdthesis{Theissen97,
2535
author = "Heiko Thei{\ss}en",
2536
title = "{Eine Methode zur Normalisatorberechnung in
2537
Per\-mu\-ta\-tions\-gruppen mit An\-wen\-dun\-gen in der
2538
Kon\-struk\-tion primitiver Gruppen}",
2539
type = "Dissertation",
2540
school = RWTH,
2541
address = RWTH-A,
2542
year = "1997"}
2543
2544
@mastersthesis{Thi87,
2545
author = "Peter Thiemann",
2546
title = "{SOGOS} {III} - {C}haraktere und {E}ffizienzuntersuchung",
2547
type = "Diplom\-arbeit",
2548
year = "1987",
2549
school = RWTHLDfM,
2550
address = RWTH-A,
2551
}
2552
2553
@article{VL84,
2554
author = "M[ichael] R. Vaughan-Lee",
2555
title = "An Aspect of the {Nilpotent Quotient Algorithm}",
2556
crossref = "Durham1982",
2557
pages = "75--84",
2558
}
2559
2560
@article{VL90a,
2561
author = "M[ichael] R. Vaughan-Lee",
2562
title = "Collection from the Left",
2563
journal = JSYMC,
2564
volume = "9",
2565
pages = "725--733",
2566
year = "1990",
2567
publisher = AcaPress,
2568
}
2569
2570
@book{VL90b,
2571
author = "M[ichael] R. Vaughan-Lee",
2572
title = "The restricted {Burnside} problem",
2573
series = LMSMon,
2574
volume = "5",
2575
year = "1990",
2576
publisher = OxUnPress,
2577
}
2578
2579
@article{vdW76,
2580
author = "Robert W. van der Waall",
2581
title = "On symplectic primitive modules and monomial groups",
2582
journal = "Indagationes Math.",
2583
volume = "38",
2584
pages = "362--375",
2585
year = "1976",
2586
}
2587
2588
2589
@article{Wagon90,
2590
author = "Wagon, Stan",
2591
title = "Editor's corner: the {E}uclidean algorithm strikes again",
2592
journal = "Amer. Math. Monthly",
2593
volume = 97,
2594
year = 1990,
2595
number = 2,
2596
pages = {125--129},
2597
}
2598
2599
@techreport{wielandt69,
2600
author = "Helmut Wielandt",
2601
title = "Permutation groups through invariant relations and
2602
invariant functions",
2603
type = "Lecture Notes",
2604
institution = "Department of Mathematics, The Ohio State University",
2605
year = 1969}
2606
2607
@misc{AGR,
2608
author = "Robert A.~Wilson",
2609
title = "{ATLAS of Finite Group Representations}",
2610
key = "ATLAS",
2611
howpublished = {\href{http://brauer.maths.qmul.ac.uk/Atlas}{http://brauer.maths.qmul.ac.uk/Atlas}},
2612
}
2613
2614
@article{BSW01,
2615
author = "John N.~Bray and
2616
Ibrahim A.~I.~Suleiman and
2617
Peter G.~Walsh and
2618
Robert A.~Wilson",
2619
title = "Generating maximal subgroups of sporadic simple groups",
2620
journal = COMMA2,
2621
volume = "29",
2622
number = "3",
2623
pages = "1325--1337",
2624
year = "2001",
2625
}
2626
2627
@article{Wil96,
2628
author = "R[obert] A. Wilson",
2629
title = "Standard generators for sporadic simple groups",
2630
journal = JALGE,
2631
volume = "184",
2632
pages = "505--515",
2633
year = "1996",
2634
}
2635
2636
@InCollection{Won95,
2637
author = "Hans Wondratschek",
2638
title = "Introduction to space-group symmetry",
2639
editor = "Theo Hahn",
2640
crossref = "Hah95",
2641
pages = "711--735"
2642
}
2643
2644
@manual{Wur93,
2645
author = "Martin Wursthorn",
2646
title = "{\sc SISYPHOS} Computing in modular group algebras,
2647
Version 0.5",
2648
year = "1993",
2649
organization = "Math. Inst. B, 3. Lehrstuhl",
2650
address = "Universit{\accent127a}t Stuttgart",
2651
}
2652
2653
@article {Zagier90,
2654
author = "Zagier, D.",
2655
title = "A one-sentence proof that every prime $p\equiv 1\pmod 4$ is a
2656
sum of two squares",
2657
journal = "Amer. Math. Monthly",
2658
volume = 97,
2659
year = 1990,
2660
number = 2,
2661
pages = 144,
2662
}
2663
2664
@mastersthesis{Zum89,
2665
author = "Matthias Zumbroich",
2666
title = "{Grundlagen} einer {Arithmetik} in
2667
{Kreisteilungsk{\accent127o}rpern} und ihre
2668
{Implementation} in {CAS}",
2669
type = "Diplomarbeit",
2670
year = "1989",
2671
school = RWTHLDfM,
2672
address = RWTH-A,
2673
}
2674
2675
2676
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
2677
%%
2678
%P Proceedings . . . . . . . . . . . . . . . . . references for proceedings
2679
%%
2680
%% The following references are proceedings that are *crossreferenced* from
2681
%% the references above. They *must* come at the end of this file. They
2682
%% are ordered with respect to the year of their publication.
2683
%%
2684
@proceedings{Oxford67,
2685
title = "Computational Problems in Abstract Algebra, Oxford, 1967",
2686
booktitle = "Computational Problems in Abstract Algebra,
2687
Proc. Conf. Oxford, 1967",
2688
editor = "John Leech",
2689
year = "1970",
2690
publisher = Pergamon,
2691
reviews = "MR 40#5374,
2692
Zbl 186.299",
2693
}
2694
2695
@proceedings{Canberra73,
2696
title = "Second International Conference on the Theory of Groups,
2697
Canberra, 1973",
2698
booktitle = "Proceedings of the Second International Conference on the
2699
Theory of Groups, Canberra, 1973",
2700
series = LNM,
2701
volume = "372",
2702
editor = "M[ichael]~F. Newman",
2703
year = "1974",
2704
publisher = Springer,
2705
reviews = "MR 49#9054,
2706
Zbl 282.00012",
2707
}
2708
2709
@proceedings{Canberra75,
2710
title = "Group theory, Canberra, 1975",
2711
booktitle = "Group theory,
2712
Proc. Miniconf., Austral. Nat. Univ., Canberra, 1975",
2713
series = LNM,
2714
volume = "573",
2715
editor = "R.~A. Bryce and J. Cossey and M[ichael]~F. Newman",
2716
year = "1977",
2717
publisher = Springer,
2718
reviews = "MR 55#3040,
2719
Zbl 342.00008",
2720
}
2721
2722
@proceedings{Bielefeld77,
2723
title = "Burnside groups, Bielefeld, 1977",
2724
booktitle = "Burnside groups, Proceedings of a workshop,
2725
Bielefeld, Germany, 1977",
2726
series = LNM,
2727
volume = "806",
2728
editor = "J[ens] L. Mennicke",
2729
year = "1980",
2730
publisher = Springer,
2731
reviews = "MR 81j:20002,
2732
Zbl 424.00008"
2733
}
2734
2735
@proceedings{EUROSAM79,
2736
title = "EUROSAM 79, Marseille, 1979",
2737
booktitle = "Symbolic and Algebraic Computation (Proceedings of
2738
EUROSAM 79, An International Symposium on Symbolic
2739
and Algebraic Manipulation, Marseille, 1979)",
2740
series = "Lecture Notes in Computer Science, 72",
2741
editor = "Edward W. Ng",
2742
year = 1979,
2743
publisher = Springer}
2744
2745
@proceedings{Durham1982,
2746
title = "Computational Group Theory,
2747
Proceedings LMS Symposium on Computational Group Theory,
2748
Durham 1982",
2749
booktitle = "Computational Group Theory,
2750
Proceedings LMS Symposium on Computational Group Theory,
2751
Durham 1982",
2752
editor = "Michael D. Atkinson",
2753
year = "1984",
2754
publisher = AcaPress
2755
}
2756
2757
@proceedings{GrpsStAndrews81,
2758
title = "Groups-St.Andrews 1981,
2759
Proceedings of a conference,
2760
St.Andrews 1981",
2761
booktitle = "Groups-St.Andrews 1981,
2762
Proceedings of a conference,
2763
St.Andrews 1981",
2764
series = LMSLec,
2765
volume = "71",
2766
editor = "Colin M. Campbell and
2767
Edmund F. Robertson",
2768
year = "1982",
2769
publisher = CamUPress,
2770
}
2771
2772
@proceedings{Singapore87,
2773
title = "Group Theory,
2774
Proceedings of the 1987 Singapore Conference,
2775
Singapore 1987",
2776
booktitle = "Group Theory,
2777
Proceedings of the 1987 Singapore Conference,
2778
Singapore 1987",
2779
year = "1989",
2780
publisher = Gruyter,
2781
}
2782
2783
@proceedings{MR91,
2784
title = "Representation theory of finite groups and
2785
finite-dimensional algebras",
2786
booktitle = "Representation theory of finite groups and
2787
finite-dimensional algebras",
2788
editor = "G.~O. Michler and
2789
C.~R. Ringel",
2790
series = "Progress in Mathematics",
2791
volume = "95",
2792
year = "1991",
2793
publisher = Birkhaeus,
2794
}
2795
2796
2797
@proceedings{ISSAC91,
2798
title = "Proceedings of the 1991 International Symposium
2799
on Symbolic and Algebraic Computation (ISSAC'91),
2800
Bonn 1991",
2801
booktitle = "Proceedings of the International Symposium
2802
on Symbolic and Algebraic Computation (ISSAC'91),
2803
Bonn 1991",
2804
year = "1991",
2805
publisher = ACM,
2806
}
2807
2808
@proceedings{ISSAC97,
2809
title = "Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation",
2810
booktitle = "Proceedings of the 1997 International Symposium on Symbolic and Algebraic Computation",
2811
year = 1997,
2812
editor = "K{\accent127u}chlin, Wolfgang",
2813
publisher = ACM,
2814
organization = "The Association for Computing Machinery",
2815
key = "ACM"
2816
}
2817
2818
@proceedings{ISSAC98,
2819
title = "Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation",
2820
booktitle = "Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation",
2821
year = 1998,
2822
editor = "Oliver Gloor",
2823
publisher = ACM,
2824
organization = "The Association for Computing Machinery",
2825
key = "ACM"
2826
}
2827
2828
@proceedings{DIMACS,
2829
booktitle = "Proceedings of the 1991 DIMACS Workshop on
2830
Groups and Computation",
2831
editor = "Finkelstein, Larry and Kantor, William M.",
2832
series = "DIMACS Series in Discrete Mathematics and
2833
Theoretical Computer Science",
2834
volume = "11",
2835
year = "1993",
2836
publisher = AMS
2837
}
2838
2839
2840
@proceedings{DIMACS2,
2841
title = "Groups and computation. {II}",
2842
booktitle = "Proceedings of the 2nd DIMACS Workshop held at Rutgers
2843
University, New Brunswick, NJ, June 7--10, 1995",
2844
editor = "Finkelstein, Larry and Kantor, William M.",
2845
series = "DIMACS Series in Discrete Mathematics and Theoretical Computer
2846
Science",
2847
volume = 28,
2848
publisher = AMS,
2849
year = 1997
2850
}
2851
2852
@proceedings{DIMACS3,
2853
title = "Groups and computation. {III}",
2854
BOOKTITLE = "Proceedings of the 3rd International Conference held at The
2855
Ohio State University, Columbus, OH, June 15--19, 1999",
2856
editor = "William~M. Kantor and {\'A}kos Seress",
2857
series = "Ohio State University Mathematical Research Institute
2858
Publications",
2859
volume = 8,
2860
PUBLISHER = Gruyter,
2861
YEAR = 2001
2862
}
2863
2864
@proceedings {DIMACS94,
2865
title = {Geometric and computational perspectives on infinite
2866
groups},
2867
booktitle = {Proceedings of the Joint DIMACS/Geometry Center
2868
Workshop held at the University of Minnesota,
2869
Minneapolis, Minnesota, January 3--14, 1994 and
2870
Rutgers University, New Brunswick, New Jersey, March
2871
17--20, 1994},
2872
editor = {Baumslag, Gilbert and Epstein, David and Gilman,
2873
Robert and Short, Hamish and Sims, Charles},
2874
publisher = AMS,
2875
address = AMSADR,
2876
year = 1996
2877
}
2878
2879
@proceedings{Groups93Vol1,
2880
title = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 1",
2881
booktitle = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 1",
2882
series = LMSLec,
2883
volume = "211",
2884
editor = "C[olin] M. Campbell and
2885
T[haddeus] C. Hurley and
2886
E[dmund] F. Robertson and
2887
S[ean] J. Tobin and
2888
J[ames] J. Ward",
2889
year = "1995",
2890
publisher = CamUPress,
2891
notes = "PAGES: xii + 304",
2892
}
2893
2894
@proceedings{Groups93Vol2,
2895
title = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 2",
2896
booktitle = "Groups '93 Galway / St.Andrews, Galway 1993, Volume 2",
2897
series = LMSLec,
2898
volume = "212",
2899
editor = "C[olin] M. Campbell and
2900
T[haddeus] C. Hurley and
2901
E[dmund] F. Robertson and
2902
S[ean] J. Tobin and
2903
J[ames] J. Ward",
2904
year = "1995",
2905
publisher = CamUPress,
2906
notes = "PAGES: xii + 305",
2907
}
2908
2909
@Proceedings{Luminy94,
2910
title = "Finite Reductive Groups, Related Structures and
2911
Representations",
2912
booktitle = "Finite Reductive Groups, Related Structures and
2913
Representations",
2914
year = 1996,
2915
editor = "Marc Cabanes",
2916
volume = 141,
2917
series = "Progress in Mathematics",
2918
publisher = Birkhaeus
2919
}
2920
2921