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GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Project: cocalc-sagemath-dev-slelievre
Views: 418346# scscp, chapter 7
# [ "doc/examples.xml", 71, 94 ]
gap> LoadPackage("anupq");
---------------------------------------------------------------------------
Loading ANUPQ (ANU p-Quotient) 3.1.4
GAP code by Greg Gamble <[email protected]> (address for correspondence)
Werner Nickel (http://www.mathematik.tu-darmstadt.de/~nickel/)
[uses ANU pq binary (C code program) version: 1.9]
C code by Eamonn O'Brien (http://www.math.auckland.ac.nz/~obrien)
Co-maintained by Max Horn <[email protected]>
For help, type: ?ANUPQ
---------------------------------------------------------------------------
true
gap> G := DihedralGroup( 512 );
<pc group of size 512 with 9 generators>
gap> F := PqStandardPresentation( G );
<fp group on the generators [ f1, f2, f3, f4, f5, f6, f7, f8, f9 ]>
gap> H := PcGroupFpGroup( F );
<pc group of size 512 with 9 generators>
gap> IdStandardPresented512Group( H );
[ 512, 2042 ]
# [ "doc/examples.xml", 145, 158 ]
gap> IdGroup512 := function( G )
> local code, result;
> if Size( G ) <> 512 then
> Error( "G must be a group of order 512 \n" );
> fi;
> code := CodePcGroup( G );
> result := EvaluateBySCSCP( "IdGroup512ByCode", [ code ],
> "localhost", 26133 );
> return result.object;
> end;;
# [ "doc/examples.xml", 164, 169 ]
gap> IdGroup512(DihedralGroup(512));
[ 512, 2042 ]