Embedding of hyperbolic groups into products of binary trees

被引：20
|
作者：
Buyalo, Sergei
Dranishnikov, Alexander
Schroeder, Viktor
机构：
[1] Inst RAS, St Petersburg Dept Steklov Math, St Petersburg 191023, Russia
[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA
[3] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland
来源：
INVENTIONES MATHEMATICAE | 2007年 / 169卷 / 01期
关键词：
D O I：
10.1007/s00222-007-0045-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that every Gromov hyperbolic group Gamma admits a quasi-isometric embedding into the product of n+1 binary trees, where n=dim partial derivative(infinity) Gamma is the topological dimension of the boundary at infinity of Gamma.
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页码：153 / 192
页数：40
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