A generalization of groups with many almost normal subgroups

A subgroup \(H\) of a group \(G\) is called almost normal in \(G\) if it has finitely many conjugates in \(G\). A classic result of B. H. Neumann informs us that \(|G:\mathbf{Z}(G)|\) is finite if and only if each \(H\) is almost normal in \(G\). Starting from this result, we investigate the structu...

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Bibliographic Details
Date:2018
Main Author: Russo, Francesco G.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/623
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

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