On well p-embedded subgroups of finite groups
Let G be a finite group, H a subgroup of G and HsG the subgroup of H genarated by all those subgroups of H which are s-permutable in G. Then we say that H is well p-embedded in G if G has a quasinormal subgroup T such that HT=G and T∩H≤HsG. In the present article we use the well p-embedded group...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2008 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2008
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152388 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On well p-embedded subgroups of finite groups / N.V. Hutsko, A.N. Skiba // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 50–64. — Бібліогр.: 19 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862594263002382336 |
|---|---|
| author | Hutsko, N.V. Skiba, A.N. |
| author_facet | Hutsko, N.V. Skiba, A.N. |
| citation_txt | On well p-embedded subgroups of finite groups / N.V. Hutsko, A.N. Skiba // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 50–64. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Let G be a finite group, H a subgroup of G and HsG the subgroup of H genarated by all those subgroups of H which are s-permutable in G. Then we say that H is well p-embedded in G if G has a quasinormal subgroup T such that HT=G and T∩H≤HsG. In the present article we use the well p-embedded groups to obtain new characterizations for some class of finite soluble, supersoluble, metanilpotent and dispersive groups.
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| first_indexed | 2025-11-27T10:34:41Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152388 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T10:34:41Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Hutsko, N.V. Skiba, A.N. 2019-06-10T18:53:52Z 2019-06-10T18:53:52Z 2008 On well p-embedded subgroups of finite groups / N.V. Hutsko, A.N. Skiba // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 50–64. — Бібліогр.: 19 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20D10, 20D20, 20E28. https://nasplib.isofts.kiev.ua/handle/123456789/152388 Let G be a finite group, H a subgroup of G and HsG the subgroup of H genarated by all those subgroups of H which are s-permutable in G. Then we say that H is well p-embedded in G if G has a quasinormal subgroup T such that HT=G and T∩H≤HsG. In the present article we use the well p-embedded groups to obtain new characterizations for some class of finite soluble, supersoluble, metanilpotent and dispersive groups. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On well p-embedded subgroups of finite groups Article published earlier |
| spellingShingle | On well p-embedded subgroups of finite groups Hutsko, N.V. Skiba, A.N. |
| title | On well p-embedded subgroups of finite groups |
| title_full | On well p-embedded subgroups of finite groups |
| title_fullStr | On well p-embedded subgroups of finite groups |
| title_full_unstemmed | On well p-embedded subgroups of finite groups |
| title_short | On well p-embedded subgroups of finite groups |
| title_sort | on well p-embedded subgroups of finite groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152388 |
| work_keys_str_mv | AT hutskonv onwellpembeddedsubgroupsoffinitegroups AT skibaan onwellpembeddedsubgroupsoffinitegroups |