Perturbation of Wreath Products and Quasi-Isometric Rigidity 1

被引：1
|
作者：
Akhmedov, Azer [1 ]
机构：
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2008年 / 2008卷
关键词：
D O I：
10.1093/imrn/rnn004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend the notion of perturbation of wreath products, and by the methods similar to [3], prove that certain perturbations are still quasi-isometric to the original wreath product. As an application, we show that a property of containing free subgroup or free subsemigroup, and many other algebraic properties of groups are not quasi-isometrically rigid.
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页数：18
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