Finite group with given \(c\)-permutable subgroups

Following [1] we say that subgroups  \(H\) and \(T\) of a group \(G\) are \(c\)- permutable in \(G\) if there exists an element \(x\in G\) such that \(HT^x=T^xH\).  We prove that a finite soluble group \(G\) is supersoluble if and only if every maximal subgroup of every Sylow subgroup of \(G\) is c-...

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Bibliographic Details
Date:2018
Main Author: Ahmad, Ahmad Alsheik
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/986
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics