Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups

Details Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups

2009-04-23

arxiv.org/abs/0904.3764v2

Mathematics

Group Theory

14 pages, 4 figures

Scientific paper

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).

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