Groups with Finitely Many Isomorphism Classes of Non-Normal Subgroups

We study groups in which the non-normal subgroups fall into finitely many isomorphism classes. We prove that a locally generalized radical group with this property is abelian-by-finite and minimax. Here a generalized radical group is a group with an ascending series whose factors are either locally...

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Bibliographic Details
Main Authors: Leonid A. Kurdachenko, Patrizia Longobardi, Mercede Maj
Format: Article
Language:English
Published: Aracne 2020-12-01
Series:Advances in Group Theory and Applications
Subjects:
Online Access:http://www.advgrouptheory.com/journal/Volumes/10/KurdachenkoLongobardiMaj.pdf