Conjugacy separability of certain torsion groups
type: Item
instance of: scholarly article
title: Conjugacy separability of certain torsion groups
zbMATH Open document ID: 0877.20020
published in: Archiv der Mathematik
publication date: 1997-07-06T00:00:00Z
review text: A group \(G\) is called conjugacy separable if for every pair \(g,h\) of elements of \(G\) which are not conjugate there is a finite quotient group of \(G\) in which the images of \(g,h\) fail to be conjugate. The authors show that certain torsion groups studied by Grigorchuk and by N. Gupta and Sidki are conjugacy separable. Also conditions are found when all groups in a given class \(K\) are conjugacy separable.
Mathematics Subject Classification ID: 20E26
Mathematics Subject Classification ID: 20F50
zbMATH DE Number: 1028215
zbMATH Keywords: wreath products
zbMATH Keywords: residually finite groups
zbMATH Keywords: conjugacy separable groups
zbMATH Keywords: finite quotient groups
zbMATH Keywords: torsion groups
author: John S. Wilson
author: Pavel Zalesskij
reviewed by: Alexander Ivanovich Budkin
MaRDI profile type: Publication
full work available at URL: s000130050076
OpenAlex ID: W2149613032
DOI: 10.1007/S000130050076
description: scientific article; zbMATH DE number 1028215