Graphs of groups with isomorphic fundamental group
type: Item
instance of: scholarly article
title: Graphs of groups with isomorphic fundamental group
zbMATH Open document ID: 0656.20038
DOI: 10.1007/BF01207476
published in: Archiv der Mathematik
publication date: 1988-01-01T00:00:00Z
review text: The notion of graphs of groups was defined by Serre and Bass in 1977. They also defined the fundamental group of a graph of groups with respect to a base vertex. The author in this interesting paper treats the problem: Whether graphs of groups can be used for a classification of groups themselves. He obtains a nice theorem in this direction, and giving the proof of a result which says that under certain convenient conditions two graphs of groups have isomorphic subgroups. In the proof some methods of combinatorial group theory are used.
Mathematics Subject Classification ID: 20F34
Mathematics Subject Classification ID: 57M05
Mathematics Subject Classification ID: 05C25
Mathematics Subject Classification ID: 20E06
Mathematics Subject Classification ID: 55Q05
Mathematics Subject Classification ID: 05C05
zbMATH DE Number: 4071202
zbMATH Keywords: graphs of groups
zbMATH Keywords: fundamental group
author: Frank Herrlich
MaRDI profile type: Publication
cites work: Some remarks on group actions on trees
cites work: Q3801870
cites work: Q4145882
full work available at URL: https://doi.org/10.1007/bf01207476
OpenAlex ID: W2005211148
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description: scientific article; zbMATH DE number 4071202