A characterization of residually finite HNN-extensions of finitely generated Abelian groups
type: Item
instance of: scholarly article
title: A characterization of residually finite HNN-extensions of finitely generated Abelian groups
zbMATH Open document ID: 0647.20017
DOI: 10.1007/BF01193619
author: S. Andreadakis
author: E. Raptis
author: Dimitrios Varsos
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: The authors prove the following: Let \(G=<t,K|\) \(t^{-1}At=B\), \(\phi >\) is an HNN-extension where K is a finitely generated abelian group. G is residually finite if and only if either \(A=K\) or \(B=K\) or there exists a normal \(\phi\)-invariant subgroup H of finite index, where A and B are supposed to be of finite index in K.
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20E26
zbMATH DE Number: 4055874
zbMATH Keywords: HNN-extension
zbMATH Keywords: finitely generated abelian group
zbMATH Keywords: residually finite
reviewed by: Hermann Heineken
MaRDI profile type: Publication
cites work: Residual finiteness and Hopficity of certain HNN extensions
cites work: On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
cites work: Q5651360
cites work: Q3270631
cites work: Q3807420
cites work: On residually finite HNN-extensions
full work available at URL: https://doi.org/10.1007/bf01193619
OpenAlex ID: W1967516660
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description: scientific article; zbMATH DE number 4055874