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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1012 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543025756372992 |
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| author | Shemetkova, Olga |
| author_facet | Shemetkova, Olga |
| author_sort | Shemetkova, Olga |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-05-15T06:58:22Z |
| 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 \(G\). |
| first_indexed | 2025-12-02T15:38:03Z |
| format | Article |
| id | admjournalluguniveduua-article-1012 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:03Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| spellingShingle | finite group \(Qf\)-central element formation 20D10 Shemetkova, Olga Finite groups with a system of generalized central elements |
| title | 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_short | Finite groups with a system of generalized central elements |
| title_sort | finite groups with a system of generalized central elements |
| topic | finite group \(Qf\)-central element formation 20D10 |
| topic_facet | finite group \(Qf\)-central element formation 20D10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1012 |
| work_keys_str_mv | AT shemetkovaolga finitegroupswithasystemofgeneralizedcentralelements |