Infinite Coxeter groups virtually surject onto \(\mathbb{Z}\)
type: Item
instance of: scholarly article
title: Infinite Coxeter groups virtually surject onto \(\mathbb{Z}\)
zbMATH Open document ID: 0903.20017
author: Constantin Gonciulea
published in: Commentarii Mathematici Helvetici
publication date: 1999-01-06T00:00:00Z
review text: It is proved that any infinite Coxeter group has a subgroup of finite index which homomorphically surjects onto the integers. This implies the known result that infinite Coxeter groups do not have property \((T)\) of Kazhdan [\textit{M. Bożejko}, \textit{T. Januszkiewicz} and \textit{R. J. Spatzier}, J. Oper. Theory 19, No. 1, 63-68 (1988; Zbl 0662.20040)].
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 1121230
zbMATH Keywords: subgroups of finite index
zbMATH Keywords: infinite Coxeter groups
reviewed by: Milica Stojanović
MaRDI profile type: Publication
full work available at URL: s000140050015
OpenAlex ID: W1998818831
DOI: 10.1007/S000140050015
description: scientific article; zbMATH DE number 1121230