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 G under the assumption that all subgrou...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2012
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Characterization of finite groups with some S-quasinormal subgroups of fixed order / M. Asaad, P. Csorgo // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 161–167. — Бібліогр.: 11 назв. — англ. |
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Asaad, M. 2019-06-09T05:51:09Z 2019-06-09T05:51:09Z 2012 Characterization of finite groups with some S-quasinormal subgroups of fixed order / M. Asaad, P. Csorgo // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 161–167. — Бібліогр.: 11 назв. — англ. 1726-3255 2000 MSC:20D10, 20D30. https://nasplib.isofts.kiev.ua/handle/123456789/152229 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. This paper was partly supported by Hungarian National Foundation for Scientific Research Grant # K84233. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Characterization of finite groups with some S-quasinormal subgroups of fixed order Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Characterization of finite groups with some S-quasinormal subgroups of fixed order |
| spellingShingle |
Characterization of finite groups with some S-quasinormal subgroups of fixed order Asaad, M. |
| 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 |
| author |
Asaad, M. |
| author_facet |
Asaad, M. |
| publishDate |
2012 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152229 |
| citation_txt |
Characterization of finite groups with some S-quasinormal subgroups of fixed order / M. Asaad, P. Csorgo // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 161–167. — Бібліогр.: 11 назв. — англ. |
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2025-12-07T19:41:59Z |
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2025-12-07T19:41:59Z |
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1850879791314501632 |