Asymptotic dimension of discrete groups

被引：44

作者：

Dranishnikov, A ^{[1
]}

Smith, J ^{[1
]}

机构：

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

FUNDAMENTA MATHEMATICAE | 2006年 / 189卷 / 01期

关键词：

asymptotic dimension; solvable group; Hirsch length;

D O I：

10.4064/fm189-1-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.

引用

页码：27 / 34

页数：8

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