Bi-twisted conjugacy in finite groups

Summary · qwen2.5:32b

Researchers offer two methods to calculate the number of bi-twisted conjugacy classes in finite groups—one through irreducible characters and another using ordinary conjugacy classes—highlighting new equalities and inequalities for Reidemeister numbers. The study also establishes connections between bi-twisted conjugacy, representation theory, and fixed-point free automorphisms. One concrete detail includes the derivation of sharp inequalities for Reidemeister numbers related to these conjugacy classes.

Suggested post angle

Learn about bi-twisted conjugacy in finite groups, a topic from the field of mathematics.

Excerpt

arXiv:2603.01679v2 Announce Type: replace Abstract: We provide two alternative ways to determine the number of bi-twisted conjugacy classes in a finite group: one using irreducible characters and one using ordinary conjugacy classes. In addition, we show various equalities and (sharp) inequalities for Reidemeister numbers, as well as relations between bi-twisted conjugacy, representation theory, and fixed-point free automorphisms.