TwistedConjugacy

Computation with twisted conjugacy classes

2.4.0

5 December 2024

Abstract

The TwistedConjugacy package provides methods to calculate Reidemeister classes, numbers, spectra and zeta functions, as well as other methods related to homomorphisms, endomorphisms and automorphisms of groups. These methods are, for the most part, designed to be used with finite groups and polycyclically presented groups.

The TwistedConjugacy package is free software, it may be redistributed and/or modified under the terms and conditions of the GNU Public License Version 2 or (at your option) any later version.

Acknowledgements

1 Preface

2 Twisted Conjugacy

2.1 Twisted Conjugation Action

2.1-1 TwistedConjugation
2.1-2 RepresentativeTwistedConjugation

2.2 Reidemeister Classes

  2.2-1 ReidemeisterClass
  2.2-2 ReidemeisterClasses
  2.2-3 RepresentativesReidemeisterClasses
  2.2-4 ReidemeisterNumber

2.3 Reidemeister Spectra

  2.3-1 ReidemeisterSpectrum
  2.3-2 ExtendedReidemeisterSpectrum
  2.3-3 CoincidenceReidemeisterSpectrum
  2.3-4 TotalReidemeisterSpectrum

2.4 Reidemeister Zeta Functions

  2.4-1 ReidemeisterZetaCoefficients
  2.4-2 IsRationalReidemeisterZeta
  2.4-3 ReidemeisterZeta
  2.4-4 PrintReidemeisterZeta

3 Multiple Twisted Conjugacy Problem