Characterization of finite groups with some S-quasinormal subgroups of fixed order
Vernadsky National Library of Ukraine
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Title |
Characterization of finite groups with some S-quasinormal subgroups of fixed order
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Creator |
Asaad, M.
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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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Date |
2019-06-09T05:51:09Z
2019-06-09T05:51:09Z 2012 |
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Type |
Article
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Identifier |
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 |
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Language |
en
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Relation |
Algebra and Discrete Mathematics
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Publisher |
Інститут прикладної математики і механіки НАН України
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