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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| Дата: | 2008 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2008
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152388 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152388 |
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dspace |
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irk-123456789-1523882019-06-11T01:25:42Z On well p-embedded subgroups of finite groups Hutsko, N.V. Skiba, A.N. 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. 2008 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152388 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Hutsko, N.V. Skiba, A.N. |
| spellingShingle |
Hutsko, N.V. Skiba, A.N. On well p-embedded subgroups of finite groups Algebra and Discrete Mathematics |
| author_facet |
Hutsko, N.V. Skiba, A.N. |
| author_sort |
Hutsko, N.V. |
| title |
On well p-embedded subgroups of finite groups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
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AT hutskonv onwellpembeddedsubgroupsoffinitegroups AT skibaan onwellpembeddedsubgroupsoffinitegroups |
| first_indexed |
2023-05-20T17:38:16Z |
| last_indexed |
2023-05-20T17:38:16Z |
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1796153744599023616 |