Editor-in-Chief: Wilson, John S.
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Citation Information: Journal of Group Theory. Volume 8, Issue 1, Pages 93–108, ISSN (Online) 1435-4446, ISSN (Print) 1433-5883, DOI: 10.1515/jgth.2005.8.1.93, July 2005
A theorem of B. H. Neumann shows that groups in which every subgroup has finitely many conjugates are central-by-finite. In this paper, we study groups G such that G/CoreG(NG(H)) is Chernikov for every subgroup H of G. We show that they are abelian-by-Chernikov and that their derived subgroups are Chernikov, but that they are not necessarily central-by-Chernikov.
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