The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups
Suppose \(G\) is a finite group and \(H\) is a subgroup of \(G\). \(H\) is said to be \(s\)-permutably embedded in \(G\) if for each prime \(p\) dividing \(|H|\), a Sylow \(p\)-subgroup of \(H\) is also a Sylow \(p\)-subgroup of some \(s\)-permutable subgroup of \(G\); \(H\) is called weakly \(s\)-...
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Lugansk National Taras Shevchenko University
2018
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oai:ojs.admjournal.luguniv.edu.ua:article-6712018-04-04T09:28:39Z The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups Li, Changwen weakly s-permutably embedded subgroups; p-nilpotent; maximal subgroup; 2-maximal subgroup 20D10; 20D20 Suppose \(G\) is a finite group and \(H\) is a subgroup of \(G\). \(H\) is said to be \(s\)-permutably embedded in \(G\) if for each prime \(p\) dividing \(|H|\), a Sylow \(p\)-subgroup of \(H\) is also a Sylow \(p\)-subgroup of some \(s\)-permutable subgroup of \(G\); \(H\) is called weakly \(s\)-permutably embedded in \(G\) if there are a subnormal subgroup \(T\) of \(G\) and an \(s\)-permutably embedded subgroup \(H_{se}\) of \(G\) contained in \(H\) such that \(G=HT\) and \(H\cap T\leq H_{se}\). We investigate the influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/671 Algebra and Discrete Mathematics; Vol 12, No 1 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/671/205 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
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| datestamp_date |
2018-04-04T09:28:39Z |
| collection |
OJS |
| language |
English |
| topic |
weakly s-permutably embedded subgroups p-nilpotent maximal subgroup 2-maximal subgroup 20D10 20D20 |
| spellingShingle |
weakly s-permutably embedded subgroups p-nilpotent maximal subgroup 2-maximal subgroup 20D10 20D20 Li, Changwen The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups |
| topic_facet |
weakly s-permutably embedded subgroups p-nilpotent maximal subgroup 2-maximal subgroup 20D10 20D20 |
| format |
Article |
| author |
Li, Changwen |
| author_facet |
Li, Changwen |
| author_sort |
Li, Changwen |
| title |
The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups |
| title_short |
The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups |
| title_full |
The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups |
| title_fullStr |
The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups |
| title_full_unstemmed |
The influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups |
| title_sort |
influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups |
| description |
Suppose \(G\) is a finite group and \(H\) is a subgroup of \(G\). \(H\) is said to be \(s\)-permutably embedded in \(G\) if for each prime \(p\) dividing \(|H|\), a Sylow \(p\)-subgroup of \(H\) is also a Sylow \(p\)-subgroup of some \(s\)-permutable subgroup of \(G\); \(H\) is called weakly \(s\)-permutably embedded in \(G\) if there are a subnormal subgroup \(T\) of \(G\) and an \(s\)-permutably embedded subgroup \(H_{se}\) of \(G\) contained in \(H\) such that \(G=HT\) and \(H\cap T\leq H_{se}\). We investigate the influence of weakly \(s\)-permutably embedded subgroups on the \(p\)-nilpotency of finite groups. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/671 |
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AT lichangwen theinfluenceofweaklyspermutablyembeddedsubgroupsonthepnilpotencyoffinitegroups AT lichangwen influenceofweaklyspermutablyembeddedsubgroupsonthepnilpotencyoffinitegroups |
| first_indexed |
2025-07-17T10:31:26Z |
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2025-07-17T10:31:26Z |
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1837890137670811648 |