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.
Publié le : 2010-09-15
Classification:
20F65,
05C25,
20E22
@article{1283865311,
author = {Dymarz, Tullia},
title = {Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups},
journal = {Duke Math. J.},
volume = {151},
number = {1},
year = {2010},
pages = { 509-526},
language = {en},
url = {http://dml.mathdoc.fr/item/1283865311}
}
Dymarz, Tullia. Bilipschitz equivalence is not equivalent to quasi-isometric equivalence for finitely generated groups. Duke Math. J., Tome 151 (2010) no. 1, pp. 509-526. http://gdmltest.u-ga.fr/item/1283865311/