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

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).

14 pages, 4 figures

References in corpus (1)

• Horocyclic products of trees

Cited by in corpus (4)

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