The conjugacy problem for Thompson-like groups

Julio Aroca

The conjugacy problem for Thompson-like groups

Group Theory 2018-08-07 v2

Authors: Julio Aroca

Abstract

In this paper we generalize techniques of Belk-Matucci to solve the conjugacy problem for every Thompson-like group $V_n(H)$ , where $n \geq 2$ and $H$ is a subgroup of the symmetric group on $n$ elements. We use this to prove that, if $n \neq m$ , $V_n(H)$ is not isomorphic to $V_m(G)$ for any $H,G$ .

Keywords

conjugacy classes in groups

Cite

@article{arxiv.1807.09503,
  title  = {The conjugacy problem for Thompson-like groups},
  author = {Julio Aroca},
  journal= {arXiv preprint arXiv:1807.09503},
  year   = {2018}
}

Comments

19 pages, 11 figures, Theorem 1.2 strengthened

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