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Maximal locally finite subgroups of the Grigorchuk group
Authors:A. V. Rozhkov
Affiliation:(1) Chelyabinsk State University, USSR
Abstract:Examples of maximal locally finite subgroups in a 3-generated 2- group, the Grigorchuk group, are presented explicitly and their properties are studied.Translated fromMatematicheskie Zametki, Vol. 63, No. 4, pp. 617–624, April, 1998.The author thanks the referee for the remarks that allowed him to shorten the paper and avoid the duplication of known facts.
Keywords:locally finite group  centralizer  costabilizer  AT group  self-normalizing group  Grigorchuk group
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