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...
Gespeichert in:
| Datum: | 2018 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
|
| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/717 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-717 |
|---|---|
| record_format |
ojs |
| spelling |
oai:ojs.admjournal.luguniv.edu.ua: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 |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-04-04T10:03:23Z |
| collection |
OJS |
| language |
English |
| topic |
\(S\)-quasinormality generalized Fitting subgroup supersolvability 20D10 20D30 |
| 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 |
| topic_facet |
\(S\)-quasinormality generalized Fitting subgroup supersolvability 20D10 20D30 |
| format |
Article |
| author |
Asaad, M. Csörgő, Piroska |
| author_facet |
Asaad, M. Csörgő, Piroska |
| author_sort |
Asaad, M. |
| title |
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_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_sort |
characterization of finite groups with some \(s\)-quasinormal subgroups of fixed order |
| 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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/717 |
| work_keys_str_mv |
AT asaadm characterizationoffinitegroupswithsomesquasinormalsubgroupsoffixedorder AT csorgopiroska characterizationoffinitegroupswithsomesquasinormalsubgroupsoffixedorder |
| first_indexed |
2025-07-17T10:31:30Z |
| last_indexed |
2025-07-17T10:31:30Z |
| _version_ |
1837890138490798080 |