BILIPSCHITZ EQUIVALENCE IS NOT EQUIVALENT TO QUASI-ISOMETRIC EQUIVALENCE FOR FINITELY GENERATED GROUPS

被引：14
|
作者：
Dymarz, Tullia [1 ]
机构：
[1] Yale Univ, Dept Math, New Haven, CT 06520 USA
来源：
DUKE MATHEMATICAL JOURNAL | 2010年 / 154卷 / 03期
关键词：
EUCLIDEAN-SPACE; SEPARATED NETS; RIGIDITY; MAPS;
D O I：
10.1215/00127094-2010-044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：509 / 526
页数：18
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