ASSOUAD-NAGATA DIMENSION OF NILPOTENT GROUPS WITH ARBITRARY LEFT INVARIANT METRICS

被引：4

作者：

Higes, J. ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Ciencias Math, Dept Geometria & Topol, E-28040 Madrid, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 06期

关键词：

Assouad-Nagata dimension; asymptotic dimension; nilpotent groups; ASYMPTOTIC DIMENSION;

D O I：

10.1090/S0002-9939-10-10240-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Suppose G is a countable, not necessarily finitely generated, group. We show G admits a proper, left invariant metric d(G) such that the Assouad-Nagata dimension of (G, d(G)) is infinite, provided the center of G is not locally finite. As a corollary we solve two problems of A. Dranishnikov.

引用

页码：2235 / 2244

页数：10

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