Constructing finitely presented simple groups
that contain Grigorchuk groups

by Claas Röver

Keywords

f.p. infinite simple groups, Grigorchuk groups, torsion locally finite

Abstract

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, that is they have no finitelt generated infinite torsion subgroups.

This is published in J. Algebra 220 (1999), 284-313.

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