Criterions of supersolubility of some finite factorizable groups

Let \(A\), \(B\) be subgroups of a group \(G\) and \(\emptyset \ne X \subseteq G\). A subgroup \(A\) is said to be \(X\)-permutable with \(B\) if for some \(x\in X\) we have \(AB^x=B^xA\) [1]. We obtain some new criterions for supersolubility of a  finite group \(G=AB\), where \(A\) and \(B\) are su...

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Bibliographic Details
Date:2018
Main Author: Legchekova, Helena V.
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/927
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics