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FGA

Free Group Algorithms

1.5.0

4 April 2023

Note: This version of FGA is a fork of the original FGA, maintained by the GAP Team.

Christian Sievers
Email: c.sievers@tu-bs.de

Contents

1 Introduction
 1.1 Overview
 1.2 Implementation and background
 1.3 Integration of the package
 1.4 License
2 Functionality of the FGA package
 2.1 New operations for free groups

  2.1-1 FreeGeneratorsOfGroup
  2.1-2 RankOfFreeGroup
  2.1-3 CyclicallyReducedWord
 2.2 Method installations

  2.2-1 Normalizer
  2.2-2 RepresentativeAction
  2.2-3 Centralizer
  2.2-4 Index
  2.2-5 Intersection
  2.2-6 \in
  2.2-7 IsSubgroup
  2.2-8 \=
  2.2-9 MinimalGeneratingSet
 2.3 Constructive membership test

  2.3-1 AsWordLetterRepInGenerators
 2.4 Automorphism groups of free groups

  2.4-1 AutomorphismGroup
  2.4-2 IsomorphismFpGroup
  2.4-3 FreeGroupEndomorphismByImages
  2.4-4 FreeGroupAutomorphismsGeneratorO
3 Installing and loading the FGA package
 3.1 Installing the FGA package
 3.2 Loading the FGA package
References
Index

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