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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2008 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152388 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On well p-embedded subgroups of finite groups |
| spellingShingle |
On well p-embedded subgroups of finite groups Hutsko, N.V. Skiba, A.N. |
| title_short |
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_sort |
on well p-embedded subgroups of finite groups |
| author |
Hutsko, N.V. Skiba, A.N. |
| author_facet |
Hutsko, N.V. Skiba, A.N. |
| publishDate |
2008 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/152388 |
| 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. |
| work_keys_str_mv |
AT hutskonv onwellpembeddedsubgroupsoffinitegroups AT skibaan onwellpembeddedsubgroupsoffinitegroups |
| first_indexed |
2025-11-27T10:34:41Z |
| last_indexed |
2025-11-27T10:34:41Z |
| _version_ |
1850852197759188992 |