Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups
Group Theory
2019-12-19 v2 Metric Geometry
Abstract
We show that certain lamplighter groups that are quasi-isometric to each other are not bilipschitz equivalent. This gives a positive answer to a question in Topics in Geometric Group Theory by Pierre de la Harpe (page 107).
Keywords
Cite
@article{arxiv.0904.3764,
title = {Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups},
author = {Tullia Dymarz},
journal= {arXiv preprint arXiv:0904.3764},
year = {2019}
}
Comments
14 pages, 4 figures