Profinite properties of RAAGs and special groups

被引：4

作者：

Kropholler, Robert ^{[1
]}

Wilkes, Gareth ^{[1
]}

机构：

[1] Univ Oxford, Math Inst, Radcliffe Observ Quarter, Woodstock Rd, Oxford OX2 6GG, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2016年 / 48卷

基金：

英国工程与自然科学研究理事会;

关键词：

ISOMORPHISM-PROBLEM; CONJECTURE;

D O I：

10.1112/blms/bdw056

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that right-angled Artin groups (RAAGs) are distinguished from each other by their pro-p completions for any choice of prime p, and that right-angled Coxeter groups (RACGs) are distinguished from each other by their pro-2 completions. We also give a new proof that hyperbolic virtually special groups are good in the sense of Serre. Furthermore, we give an example of a property of the underlying graph of a RAAG that translates to a property of the profinite completion.

引用

页码：1001 / 1007

页数：7

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