Proper actions of lamplighter groups associated with free groups

Yves De Cornulier; Yves Stalder; Alain Valette

Proper actions of lamplighter groups associated with free groups

Group Theory 2007-11-10 v2

Authors: Yves De Cornulier , Yves Stalder , Alain Valette

Abstract

Given a finite group $H$ and a free group $F_n$ , we prove that the wreath product $H\wr F_n$ admits a metrically proper, isometric action on a Hilbert space.

Keywords

lamplighter groups free groups wreath product proper actions hilbert space isometric action geometric group theory

Cite

@article{arxiv.0707.2039,
  title  = {Proper actions of lamplighter groups associated with free groups},
  author = {Yves De Cornulier and Yves Stalder and Alain Valette},
  journal= {arXiv preprint arXiv:0707.2039},
  year   = {2007}
}

Comments

6 pages. The part on Hilbert space compression from the first version of this paper, will be incorporated into a more elaborate paper on the subject

Proper actions of lamplighter groups associated with free groups

Abstract

Keywords

Cite

Comments

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