One-relator groups with torsion are conjugacy separable.
type: Item
instance of: scholarly article
title: One-relator groups with torsion are conjugacy separable.
zbMATH Open document ID: 1296.20029
author: Ashot Minasyan
author: Pavel Zalesskij
published in: Journal of Algebra
publication date: 2014-03-03T00:00:00Z
full work available at URL: https://arxiv.org/abs/1211.0488
review text: A group \(G\) is conjugacy separable if for any two non-conjugate elements \(x,y\in G\) there is a homomorphism from \(G\) to a finite group \(M\) such that the images of \(x\) and \(y\) are not conjugate in \(M\). The group \(G\) is hereditarily conjugacy separable if every finite index subgroup of \(G\) is conjugacy separable. The authors prove that one-relator groups with torsion are hereditarily conjugacy separable. As a corollary they obtain that any quasiconvex subgroup of a one-relator group with torsion is also conjugacy separable.
Mathematics Subject Classification ID: 20E26
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20F67
zbMATH DE Number: 6264361
zbMATH Keywords: one-relator groups with torsion
zbMATH Keywords: hereditarily conjugacy separable groups
zbMATH Keywords: subgroups of finite index
zbMATH Keywords: quasiconvex subgroups
reviewed by: Alexander Ivanovich Budkin
MaRDI profile type: Publication
OpenAlex ID: W1998135720
arXiv ID: 1211.0488
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DOI: 10.1016/J.JALGEBRA.2013.02.015
description: scientific article