A new upper bound for the asymptotic dimension of RACGs

被引：0

作者：

Tselekidis, Panagiotis ^{[1
]}

机构：

[1] Ecole Normale Super, Dept Math, 45 Rue Ulm, F-75005 Paris, France

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2024年 / 67卷 / 02期

关键词：

Geometric group theory; RACGs; asymptotic dimension; clique-connected dimension;

D O I：

10.4153/S0008439523000760

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let $W_{\Gamma} $ be the right-angled Coxeter group with defining graph $\Gamma $. We show that the asymptotic dimension of $W_{\Gamma} $ is smaller than or equal to $\mathrm{dim}_{CC}(\Gamma )$, the clique-connected dimension of the graph. We generalize this result to graph products of finite groups.

引用

页码：338 / 349

页数：12

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