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CHERNIKOV GROUPS WITH FINITE CLASSES OF CONJUGATE ELEMENTS
Journal: The Way of Science (Vol.1, No. 43)Publication Date: 2017-09-29
Authors : Pavlyuk I.I. Sarsembayeva G.A. Katabekova S.V.;
Page : 8-11
Keywords : Chernikov group; Chernikov index; FC–group; factorization by Abelian groups;
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Abstract
In the paper, the following results are obtained: Chernikov group with finite classes of the conjugate elements is finitesimal over the center; G Group is factorable (G=AB) by two normal subgroups A, B with Chernikov commutants – A', B', has a Chernikov commutant G'.
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Last modified: 2018-11-09 20:16:43