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On locally soluble periodic groups with Chernikov centralizer of a four-subgroup

Published online by Cambridge University Press:  20 January 2009

Pavel Shumyatsky
Pavel Shumyatsky
Affiliation:
Department of Mathematics, Technion-Israel Institute of Technology, Haifa 32000, Israel
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Abstract

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Let G be a locally soluble periodic group having a four-subgroup V. We show that if CG(V) is Chernikov then G is hyperabelian-by-Chernikov, if CG(V) is finite then G is hyperabelian.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 37 , Issue 1 , February 1994 , pp. 133 - 138
Copyright
Copyright © Edinburgh Mathematical Society 1994

References

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