English

Obstructions for subgroups of Thompson's group $V$

Group Theory 2020-09-29 v2

Abstract

Thompson's group VV has a rich variety of subgroups, containing all finite groups, all finitely generated free groups and all finitely generated abelian groups, the finitary permutation group of a countable set, as well as many wreath products and other families of groups. Here, we describe some obstructions for a given group to be a subgroup of VV.

Keywords

Cite

@article{arxiv.1402.3860,
  title  = {Obstructions for subgroups of Thompson's group $V$},
  author = {José Burillo and Sean Cleary and Claas E. Röver},
  journal= {arXiv preprint arXiv:1402.3860},
  year   = {2020}
}
R2 v1 2026-06-22T03:09:20.735Z