GAP Package TwistedConjugacyClone

The TwistedConjugacy package provides methods for solving the twisted conjugacy problem (including the “search” and “multiple” variants) and for computing Reidemeister classes, numbers, spectra, and zeta functions. It also includes utility functions for working with (double) cosets, group homomorphisms, and group derivations.

These methods are primarily designed for use with finite groups and with PcpGroups (finite or infinite) provided by the Polycyclic package.

The current version of this package is version 3.0.0, released on 2025-07-21. For more information, please refer to the package manual. There is also a README file.

License: GPL-2.0-or-later

Dependencies

This package requires GAP version >= 4.14

The following additional GAP packages are not required, but suggested:

AutPGrp 1.11

Author

Sam Tertooy.

Citing

Please, cite this package as

[Ter25] Tertooy, S., TwistedConjugacyClone, Computation with twisted conjugacy classes, Version 3.0.0 (2025)
(GAP package), https://stertooy.github.io/TwistedConjugacyClone.

You can get more info by typing Cite("TwistedConjugacyClone"); in the gap prompt.

Feedback

For bug reports, feature requests and suggestions, please use the issue tracker.