English

Conjugacy depth function for generalised lamplighter groups

Group Theory 2023-01-20 v3

Abstract

In this article, we completely characterize the asymptotic behavior of conjugacy separability for the lamplighter groups. More generally, we give exponential upper and lower bounds for all wreath products of finitely generated abelian groups where the acting group is infinite and base group is finite.

Keywords

Cite

@article{arxiv.2111.14722,
  title  = {Conjugacy depth function for generalised lamplighter groups},
  author = {Michal Ferov and Mark Pengitore},
  journal= {arXiv preprint arXiv:2111.14722},
  year   = {2023}
}

Comments

The content of this preprint was merged with and replaced by the preprint arXiv:2201.06165

R2 v1 2026-06-24T07:56:07.762Z