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On S-quasinormally embedded subgroups of finite groups
Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal subgroup of G. Let BseG be the subgroup generated by all the subgroups of B w...
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Інститут прикладної математики і механіки НАН України
2012
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/152183 |
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irk-123456789-1521832019-06-09T01:25:09Z On S-quasinormally embedded subgroups of finite groups Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal subgroup of G. Let BseG be the subgroup generated by all the subgroups of B which are S-quasinormally embedded in G. A subgroup B is called SE-supplemented in G if there exists a subgroup T such that G = BT and B ∩ T ≤ BseG. The main result of the paper is the following. 2012 Article On S-quasinormally embedded subgroups of finite groups / Kh.A. Al-Sharo, O. Shemetkova, Xiaolan Yi // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 18–25. — Бібліогр.: 20 назв. — англ. 1726-3255 2010 Mathematics Subject Classification:20D10, 20D20, 20D25. http://dspace.nbuv.gov.ua/handle/123456789/152183 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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English |
| description |
Let G be a finite group. A subgroup A is called:1) S-quasinormal in G if A is permutable with all Sylow subgroups in G 2) S-quasinormally embedded in G if every Sylow subgroup of A is a Sylow subgroup of some S-quasinormal subgroup of G. Let BseG be the subgroup generated by all the subgroups of B which are S-quasinormally embedded in G. A subgroup B is called SE-supplemented in G if there exists a subgroup T such that G = BT and B ∩ T ≤ BseG. The main result of the paper is the following. |
| format |
Article |
| author |
Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi |
| spellingShingle |
Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi On S-quasinormally embedded subgroups of finite groups Algebra and Discrete Mathematics |
| author_facet |
Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi |
| author_sort |
Al-Sharo, Kh.A. |
| title |
On S-quasinormally embedded subgroups of finite groups |
| title_short |
On S-quasinormally embedded subgroups of finite groups |
| title_full |
On S-quasinormally embedded subgroups of finite groups |
| title_fullStr |
On S-quasinormally embedded subgroups of finite groups |
| title_full_unstemmed |
On S-quasinormally embedded subgroups of finite groups |
| title_sort |
on s-quasinormally embedded subgroups of finite groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152183 |
| citation_txt |
On S-quasinormally embedded subgroups of finite groups / Kh.A. Al-Sharo, O. Shemetkova, Xiaolan Yi // Algebra and Discrete Mathematics. — 2012. — Vol. 13, № 1. — С. 18–25. — Бібліогр.: 20 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT alsharokha onsquasinormallyembeddedsubgroupsoffinitegroups AT shemetkovao onsquasinormallyembeddedsubgroupsoffinitegroups AT xiaolanyi onsquasinormallyembeddedsubgroupsoffinitegroups |
| first_indexed |
2023-05-20T17:37:40Z |
| last_indexed |
2023-05-20T17:37:40Z |
| _version_ |
1796153723641135104 |