English

Simple groups and irreducible lattices in wreath products

Group Theory 2020-01-24 v1

Abstract

We consider the finitely generated groups acting on a regular tree with almost prescribed local action. We show that these groups embed as cocompact irreducible lattices in some locally compact wreath products. This provides examples of finitely generated simple groups quasi-isometric to a wreath product CFC \wr F, where CC is a finite group and FF a non-abelian free group.

Keywords

Cite

@article{arxiv.2001.08689,
  title  = {Simple groups and irreducible lattices in wreath products},
  author = {Adrien Le Boudec},
  journal= {arXiv preprint arXiv:2001.08689},
  year   = {2020}
}

Comments

11 pages. Was previously part of arXiv:1802.04736