Bi-twisted conjugacy in finite groups
Group Theory
2026-03-03 v1
Abstract
We provide two alternative ways to determine the number of (bi-)twisted conjugacy classes in a finite group: one by counting certain irreducible characters and one by counting certain twisted conjugacy classes of other endomorphisms. In addition, we show various inequalities and congruences for Reidemeister numbers, as well as relations between bi-twisted conjugacy, representation theory, and fixed-point free automorphisms.
Cite
@article{arxiv.2603.01679,
title = {Bi-twisted conjugacy in finite groups},
author = {Pieter Senden and Sam Tertooy},
journal= {arXiv preprint arXiv:2603.01679},
year = {2026}
}
Comments
14 pages