Conjugacy separability of generalized free products of surface groups
type: Item
instance of: scholarly article
title: Conjugacy separability of generalized free products of surface groups
zbMATH Open document ID: 0881.20012
DOI: 10.1016/S0022-4049(96)00060-6
author: Bernhard Rupp
published in: Journal of Pure and Applied Algebra
publication date: 1998-02-19T00:00:00Z
review text: A group \(G\) is called conjugacy separable if whenever \(x,y\in G\) are not conjugate in \(G\) then there is a finite factor group of \(G\) in which the images of \(x\) and \(y\) still are not conjugate. The main result is that the amalgamated free products \(A*_H B\), where \(H\) is cyclic and \(A\), \(B\) are surface groups, are conjugacy separable. Since cocompact Fuchsian groups are finite extensions of surface groups it is conjectured that the result also holds when \(A\), \(B\) are finitely generated Fuchsian groups.
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20E26
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 20F10
Mathematics Subject Classification ID: 57M05
zbMATH DE Number: 1067515
zbMATH Keywords: conjugacy separable groups
zbMATH Keywords: amalgamated free products
zbMATH Keywords: surface groups
zbMATH Keywords: finitely generated Fuchsian groups
reviewed by: Gerhard Rosenberger
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1067515