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

页码：509 / 526

页数：18

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