Constructing finitely presented simple groups that contain Grigorchuk groups
type: Item
instance of: scholarly article
title: Constructing finitely presented simple groups that contain Grigorchuk groups
zbMATH Open document ID: 0940.20034
author: Claas E. Röver
published in: Journal of Algebra
publication date: 1999-12-20T00:00:00Z
review text: The author constructs infinite finitely presented simple groups that have subgroups isomorphic to Grigorchuk groups. A group is called torsion locally finite if any torsion subgroup is locally finite. It is proved that up to one possible exception all previously known finitely presented simple groups are torsion locally finite.
Mathematics Subject Classification ID: 20E32
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20E07
zbMATH DE Number: 1356301
zbMATH Keywords: torsion locally finite groups
zbMATH Keywords: infinite finitely presented simple groups
zbMATH Keywords: Grigorchuk groups
zbMATH Keywords: torsion subgroups
reviewed by: Alexander Ivanovich Budkin
MaRDI profile type: Publication
OpenAlex ID: W2070866382
cites work: Q3139887
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DOI: 10.1006/JABR.1999.7898
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description: scientific article; zbMATH DE number 1356301