Finite groups with a system of generalized central elements
Let \(H\) be a normal subgroup of a finite group \(G\). A number of authors have investigated the structure of \(G\) under the assumption that all minimal or maximal subgroups in Sylow subgroups of \(H\) are well-situated in \(G\). A general approach to the results of that kind is proposed in this a...
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| Date: | 2018 |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1012 |
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admjournalluguniveduua-article-10122018-05-15T06:58:22Z Finite groups with a system of generalized central elements Shemetkova, Olga finite group, \(Qf\)-central element, formation 20D10 Let \(H\) be a normal subgroup of a finite group \(G\). A number of authors have investigated the structure of \(G\) under the assumption that all minimal or maximal subgroups in Sylow subgroups of \(H\) are well-situated in \(G\). A general approach to the results of that kind is proposed in this article. The author has found the conditions for \(p\)-elements of \(H\) under which \(G\)-chief \(p\)-factors of \(H\) are \(\mathfrak{F}\)-central in \(G\). Lugansk National Taras Shevchenko University 2018-05-15 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1012 Algebra and Discrete Mathematics; Vol 3, No 4 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1012/541 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
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| datestamp_date |
2018-05-15T06:58:22Z |
| collection |
OJS |
| language |
English |
| topic |
finite group \(Qf\)-central element formation 20D10 |
| spellingShingle |
finite group \(Qf\)-central element formation 20D10 Shemetkova, Olga Finite groups with a system of generalized central elements |
| topic_facet |
finite group \(Qf\)-central element formation 20D10 |
| format |
Article |
| author |
Shemetkova, Olga |
| author_facet |
Shemetkova, Olga |
| author_sort |
Shemetkova, Olga |
| title |
Finite groups with a system of generalized central elements |
| title_short |
Finite groups with a system of generalized central elements |
| title_full |
Finite groups with a system of generalized central elements |
| title_fullStr |
Finite groups with a system of generalized central elements |
| title_full_unstemmed |
Finite groups with a system of generalized central elements |
| title_sort |
finite groups with a system of generalized central elements |
| description |
Let \(H\) be a normal subgroup of a finite group \(G\). A number of authors have investigated the structure of \(G\) under the assumption that all minimal or maximal subgroups in Sylow subgroups of \(H\) are well-situated in \(G\). A general approach to the results of that kind is proposed in this article. The author has found the conditions for \(p\)-elements of \(H\) under which \(G\)-chief \(p\)-factors of \(H\) are \(\mathfrak{F}\)-central in \(G\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1012 |
| work_keys_str_mv |
AT shemetkovaolga finitegroupswithasystemofgeneralizedcentralelements |
| first_indexed |
2025-12-02T15:38:03Z |
| last_indexed |
2025-12-02T15:38:03Z |
| _version_ |
1850412118033039360 |