A note on Hall S-permutably embedded subgroups of finite groups

Let \(G\) be a finite group. Recall that a  subgroup \(A\) of \(G\) is said to  permute with a subgroup \(B\) if \(AB=BA\). A subgroup \(A\) of \(G\) is said to be \(S\)-quasinormal or \(S\)-permutable in \(G\)   if \(A\) permutes with all Sylow subgroups of \(G\). Recall also that \(H^{s G}\) is th...

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Bibliographic Details
Date:2017
Main Author: Sinitsa, Darya
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2017
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/148
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics