Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order
Let \(G\) be a finite group. A subgroup of \(G\) is said to be \(S\)-quasinormal in \(G\) if it permutes with every Sylow subgroup of \(G\). We fix in every non-cyclic Sylow subgroup \(P\) of the generalized Fitting subgroup a subgroup \(D\) such that \(1 < |D| < |P|\) and characterize...
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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/717 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543160676646912 |
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| author | Asaad, M. Csörgő, Piroska |
| author_facet | Asaad, M. Csörgő, Piroska |
| author_sort | Asaad, M. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T10:03:23Z |
| description | Let \(G\) be a finite group. A subgroup of \(G\) is said to be \(S\)-quasinormal in \(G\) if it permutes with every Sylow subgroup of \(G\). We fix in every non-cyclic Sylow subgroup \(P\) of the generalized Fitting subgroup a subgroup \(D\) such that \(1 < |D| < |P|\) and characterize \(G\) under the assumption that all subgroups \(H\) of \(P\) with \(|H| = |D|\) are \(S\)-quasinormal in \(G\). Some recent results are generalized. |
| first_indexed | 2026-02-08T07:58:49Z |
| format | Article |
| id | admjournalluguniveduua-article-717 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:49Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-7172018-04-04T10:03:23Z Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order Asaad, M. Csörgő, Piroska \(S\)-quasinormality, generalized Fitting subgroup, supersolvability 20D10, 20D30 Let \(G\) be a finite group. A subgroup of \(G\) is said to be \(S\)-quasinormal in \(G\) if it permutes with every Sylow subgroup of \(G\). We fix in every non-cyclic Sylow subgroup \(P\) of the generalized Fitting subgroup a subgroup \(D\) such that \(1 < |D| < |P|\) and characterize \(G\) under the assumption that all subgroups \(H\) of \(P\) with \(|H| = |D|\) are \(S\)-quasinormal in \(G\). Some recent results are generalized. 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/717 Algebra and Discrete Mathematics; Vol 14, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/717/249 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | \(S\)-quasinormality generalized Fitting subgroup supersolvability 20D10 20D30 Asaad, M. Csörgő, Piroska Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order |
| title | Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order |
| title_full | Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order |
| title_fullStr | Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order |
| title_full_unstemmed | Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order |
| title_short | Characterization of finite groups with some \(S\)-quasinormal subgroups of fixed order |
| title_sort | characterization of finite groups with some \(s\)-quasinormal subgroups of fixed order |
| topic | \(S\)-quasinormality generalized Fitting subgroup supersolvability 20D10 20D30 |
| topic_facet | \(S\)-quasinormality generalized Fitting subgroup supersolvability 20D10 20D30 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/717 |
| work_keys_str_mv | AT asaadm characterizationoffinitegroupswithsomesquasinormalsubgroupsoffixedorder AT csorgopiroska characterizationoffinitegroupswithsomesquasinormalsubgroupsoffixedorder |