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

Tullia Dymarz

doi:10.1215/00127094-2010-044

15 September 2010 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 of de la Harpe.

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Tullia Dymarz "Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups," Duke Mathematical Journal 154(3), 509-526, (15 September 2010). https://doi.org/10.1215/00127094-2010-044

Published: 15 September 2010

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