Constructing Finitely Presented Simple Groups That Contain Grigorchuk Groups

We construct infinite finitely presented simple groups that have subgroups isomorphic to Grigorchuk groups. We also prove that up to one possible exception all previously known finitely presented simple groups are torsion locally finite.

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Bibliographische Detailangaben
Veröffentlicht in:	Journal of algebra 1999-10, Vol.220 (1), p.284-313
1. Verfasser:	Röver, Claas E.
Format:	Artikel
Sprache:	eng
Schlagworte:	finitely presented infinite simple groups Grigorchuk groups torsion locally finite
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Beschreibung
Zusammenfassung:	We construct infinite finitely presented simple groups that have subgroups isomorphic to Grigorchuk groups. We also prove that up to one possible exception all previously known finitely presented simple groups are torsion locally finite.
ISSN:	0021-8693 1090-266X
DOI:	10.1006/jabr.1999.7898