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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2012 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152183 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862684910500708352 |
|---|---|
| author | Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi |
| author_facet | Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T15:59:30Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-152183 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:59:30Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi 2019-06-08T09:40:28Z 2019-06-08T09:40:28Z 2012 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. https://nasplib.isofts.kiev.ua/handle/123456789/152183 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. Research of the third author (corresponding author) was supported by NNSF of China (grant no. 11101369). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On S-quasinormally embedded subgroups of finite groups Article published earlier |
| spellingShingle | On S-quasinormally embedded subgroups of finite groups Al-Sharo, Kh.A. Shemetkova, O. Xiaolan Yi |
| title | 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_short | On S-quasinormally embedded subgroups of finite groups |
| title_sort | on s-quasinormally embedded subgroups of finite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152183 |
| work_keys_str_mv | AT alsharokha onsquasinormallyembeddedsubgroupsoffinitegroups AT shemetkovao onsquasinormallyembeddedsubgroupsoffinitegroups AT xiaolanyi onsquasinormallyembeddedsubgroupsoffinitegroups |