Residual finiteness of infinite amalgamated products of cyclic groups.
type: Item
instance of: scholarly article
title: Residual finiteness of infinite amalgamated products of cyclic groups.
zbMATH Open document ID: 1116.20021
author: V. Metaftsis
author: E. Raptis
published in: Journal of Pure and Applied Algebra
publication date: 2007-01-09T00:00:00Z
review text: The authors show a necessary and sufficient condition for the fundamental group \(\pi_1(\Gamma,X)\) of a graph of groups \((\Gamma,X)\) to be residually finite. The main theorem completely classifies \(\pi_1(\Gamma,X)\) as far as residual finiteness is concerned. They also classify the residual finiteness and the subgroup separability of the subgroups of \((\mathbb{Q},+)\), the additive group of rationals.
reviewed by: A. C. Kim
Mathematics Subject Classification ID: 20E26
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 20E08
zbMATH DE Number: 5083183
zbMATH Keywords: residual finiteness
zbMATH Keywords: free products
zbMATH Keywords: graphs of groups, subgroup separability
zbMATH Keywords: HNN-extensions
MaRDI profile type: Publication
full work available at URL: j.jpaa.2006.05.003
OpenAlex ID: W2071667473
cites work: Graphs and separability properties of groups
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cites work: Immersions and Embeddings of Totally Geodesic Surfaces
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cites work: Subgroup Separability of Graphs of Free Groups with Cyclic Edge Groups
DOI: 10.1016/J.JPAA.2006.05.003
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description: scientific article; zbMATH DE number 5083183