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- Title
Reidemeister Classes, Wreath Products, and Solvability.
- Authors
Troitsky, E. V.
- Abstract
This article, titled "Reidemeister Classes, Wreath Products, and Solvability," discusses the concept of Reidemeister classes, which are equivalence classes of automorphisms of a group. The article explores three main directions of research related to Reidemeister classes: proving or disproving a conjecture about the relationship between Reidemeister numbers and irreducible unitary representations, searching for groups with infinite Reidemeister numbers, and studying the rationality and other properties of the Reidemeister zeta function. The article presents several theorems and lemmas related to these topics and provides proofs for some of them. The author concludes by discussing the solvability of certain groups and acknowledging funding support.
- Subjects
WREATHS; FINITE groups; CONJUGACY classes; SOLVABLE groups; ABELIAN groups; AUTOMORPHISM groups; AUTOMORPHISMS
- Publication
Mathematical Notes, 2023, Vol 114, Issue 5/6, p1494
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434623110779