On quotients of Coxeter groups

被引：0

作者：

Moeller, Philip ^{[1
]}

Varghese, Olga ^{[2
]}

机构：

[1] Univ Munster, Dept Math, Einsteinstr 62, D-48149 Munster, Germany

[2] Heinrich Heine Univ Dusseldorf, Inst Math, Univ Str 1, D-40225 Dusseldorf, Germany

来源：

JOURNAL OF ALGEBRA | 2024年 / 639卷

关键词：

Coxeter groups; Just infinite groups; Profinite rigidity; NORMAL-SUBGROUPS; FINITE;

D O I：

10.1016/j.jalgebra.2023.09.048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A group G is said to be just infinite if G itself is infinite but all proper quotients of G are finite. It was proven in [18] that irreducible affine Coxeter groups are just infinite. We show that the converse statement is also true, that is a Coxeter group is just infinite only if it is an irreducible affine one. Moreover, we show that just infinite Coxeter groups are profinitely rigid among all Coxeter groups.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：516 / 531

页数：16

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