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arXiv · 0904.3764

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

Tullia Dymarz
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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).

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Tullia Dymarz. 2009-04-23. Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups. https://doi.org/10.1215/00127094-2010-044

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