On well \(p\)-embedded subgroups of finite groups
Let \(G\) be a finite group, \(H\) a subgroup of \(G\) and \(H_{s G}\) the subgroup of \(H\) genarated by all those subgroups of \(H\) which are \(s\)-permutable in \(G\). Then we say that \(H\) is well \(p\)-embedded in \(G\) if \(G\) has a quasinormal subgroup \(T\) such that \(HT=G\) and \(T\...
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| Date: | 2018 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/808 |
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| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Summary: | Let \(G\) be a finite group, \(H\) a subgroup of \(G\) and \(H_{s G}\) the subgroup of \(H\) genarated by all those subgroups of \(H\) which are \(s\)-permutable in \(G\). Then we say that \(H\) is well \(p\)-embedded in \(G\) if \(G\) has a quasinormal subgroup \(T\) such that \(HT=G\) and \(T\cap H\leq H_{s G}\). In the present article we use the well \(p\)-embedded groups to obtain new characterizations for some class of finite soluble, supersoluble, metanilpotent and dispersive groups. |
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