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...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152229 |
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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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862734234280525824 |
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| author | Asaad, M. |
| author_facet | Asaad, M. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T19:41:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152229 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T19:41:59Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Characterization of finite groups with some S-quasinormal subgroups of fixed order Asaad, M. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152229 |
| work_keys_str_mv | AT asaadm characterizationoffinitegroupswithsomesquasinormalsubgroupsoffixedorder |