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On the structure of some groups having finite contranormal subgroups

Following J.S. Rose, a subgroup \(H\) of the group \(G\) is said to be contranormal in \(G\), if \(G=H^{G}\). In a certain sense, contranormal subgroups are antipodes to subnormal subgroups. We study the structure of Abelian-by-nilpotent groups having a finite proper contranormal \(p\)-subgroup.

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Bibliographic Details
Date:	2021
Main Authors:	Kurdachenko, L. A., Semko, N. N.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2021
Subjects:	contranormal subgroups Abelian-by-nilpotent groups hypercenter of a group \(G\)-eccentric subgroups rationally irreducible subgroups 20E99 20F18 20F19
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1724
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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