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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| Дата: | 2012 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2012
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152229 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152229 |
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dspace |
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irk-123456789-1522292019-06-10T01:26:11Z Characterization of finite groups with some S-quasinormal subgroups of fixed order Asaad, M. 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. 2012 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152229 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Asaad, M. |
| spellingShingle |
Asaad, M. Characterization of finite groups with some S-quasinormal subgroups of fixed order Algebra and Discrete Mathematics |
| author_facet |
Asaad, M. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT asaadm characterizationoffinitegroupswithsomesquasinormalsubgroupsoffixedorder |
| first_indexed |
2023-05-20T17:37:48Z |
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2023-05-20T17:37:48Z |
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1796153728535887872 |