Periodic part in some Shunkov groups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1999 English Publisher:Springer Science and Business Media LLCJournal:Algebra and Logic, volume 38, pages 51-66 (issn: 0002-5232, eissn: 1573-8302,

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Authors: A. K. Shlyopkin;

doi: 10.1007/bf02671670

Periodic part in some Shunkov groups

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Abstract

A group G is saturated with groups in a set X if every finite subgroup of G is embeddable in G into a subgroup L isomorphic to some group in X. We show that a Shunkov group has a periodic part if the saturating set for it coincides with one of the following: {L2(q)}, {Sz(q)}, {Re(q)}, or {U3(2n)}.

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