The asymptotic dimension of box spaces of virtually nilpotent groups

被引:1
作者
Delabie, Thiebout [1 ]
Tointon, Matthew C. H. [1 ]
机构
[1] Univ Neuchatel, Neuchatel, Switzerland
基金
瑞士国家科学基金会;
关键词
Box space; Asymptotic dimension; Virtually nilpotent; Polynomial growth;
D O I
10.1016/j.disc.2017.12.009
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that every box space of a virtually nilpotent group has asymptotic dimension equal to the Hirsch length of that group. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码:1036 / 1040
页数:5
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