English

Twisted conjugacy in some lamplighter-type groups

Group Theory 2023-05-23 v1

Abstract

For a restricted wreath product GZkG\wr \mathbb{Z}^k, where GG is a finite abelian group, we determine (almost in all cases) whether this product has the RR_\infty property (i.e., each its automorphism has infinite Reidemeister number).

Keywords

Cite

@article{arxiv.2208.13018,
  title  = {Twisted conjugacy in some lamplighter-type groups},
  author = {Evgenij Troitsky},
  journal= {arXiv preprint arXiv:2208.13018},
  year   = {2023}
}

Comments

arXiv admin note: text overlap with arXiv:2207.04294

R2 v1 2026-06-25T02:01:38.119Z