chap0.txt

  
  
                               GAP --- A Tutorial
  
  
                          Release 4.8.10, 15-Jan-2018
  
  
                                 The GAP Group
  
  
  
  The GAP Group
      Email:    mailto:[email protected]
      Homepage: https://www.gap-system.org
  
  -------------------------------------------------------
  Copyright
  Copyright  ©  (1987-2018)  for  the  core  part of the GAP system by the GAP
  Group.
  
  Most  parts  of this distribution, including the core part of the GAP system
  are  distributed  under  the  terms  of  the GNU General Public License, see
  http://www.gnu.org/licenses/gpl.html or the file GPL in the etc directory of
  the GAP installation.
  
  More  detailed  information  about  copyright  and licenses of parts of this
  distribution can be found in 'Reference: Copyright and License'.
  
  GAP  is  developed  over  a long time and has many authors and contributors.
  More   detailed   information  can  be  found  in  'Reference:  Authors  and
  Maintainers'.
  
  
  -------------------------------------------------------
  
  
  Contents (tut)
  
  1 Preface
    1.1 The GAP System
    1.2 Further Information about GAP
  2 A First Session with GAP
    2.1 Starting and Leaving GAP
    2.2 Loading Source Code from a File
    2.3 The Read Evaluate Print Loop
    2.4 Constants and Operators
    2.5 Variables versus Objects
    2.6 Objects vs. Elements
    2.7 About Functions
    2.8 Help
    2.9 Further Information introducing the System
  3 Lists and Records
    3.1 Plain Lists
    3.2 Identical Lists
    3.3 Immutability
    3.4 Sets
    3.5 Ranges
    3.6 For and While Loops
    3.7 List Operations
    3.8 Vectors and Matrices
    3.9 Plain Records
    3.10 Further Information about Lists
  4 Functions
    4.1 Writing Functions
    4.2 If Statements
    4.3 Local Variables
    4.4 Recursion
    4.5 Further Information about Functions
  5 Groups and Homomorphisms
    5.1 Permutation groups
    5.2 Actions of Groups
    5.3 Subgroups as Stabilizers
    5.4 Group Homomorphisms by Images
    5.5 Nice Monomorphisms
    5.6 Further Information about Groups and Homomorphisms
  6 Vector Spaces and Algebras
    6.1 Vector Spaces
    6.2 Algebras
    6.3 Further Information about Vector Spaces and Algebras
  7 Domains
    7.1 Domains as Sets
    7.2 Algebraic Structure
    7.3 Notions of Generation
    7.4 Domain Constructors
    7.5 Forming Closures of Domains
    7.6 Changing the Structure
    7.7 Subdomains
    7.8 Further Information about Domains
  8 Operations and Methods
    8.1 Attributes
    8.2 Properties and Filters
    8.3 Immediate and True Methods
    8.4 Operations and Method Selection