Groups with many pronormal and transitively normal subgroups

A subgroup \(H\) of a group \(G\) is said to be transitively  normal in \(G\), if \(H\) is normal in every subgroup \(K\geqslant H\) such that \(H\) is subnormal in \(K\). We described some infinite groups, whose non–finitely generated subgroups are transitively normal.

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Bibliographic Details
Date:2018
Main Authors: Kurdachenko, L. A., Semko (Jr.), N. N., Subbotin, I. Ya.
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/713
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics