On ss-quasinormal and weakly s-supplemented subgroups of finite groups
Suppose that G is a finite group and H is a subgroup of G. H is called ss-quasinormal in G if there is a subgroup B of G such that G=HB and H permutes with every Sylow subgroup of B; H is called weakly s-supplemented in G if there is a subgroup T of G such that G=HT and H⋂T≤HₛG, where HₛG is the sub...
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| Дата: | 2011 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2011
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| Назва видання: | Український математичний журнал |
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/166403 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On ss-quasinormal and weakly s-supplemented subgroups of finite groups / C. Li, Y. Li // Український математичний журнал. — 2011. — Т. 63, № 12. — С. 1623–1631. — Бібліогр.: 25 назв. — англ. |
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irk-123456789-1664032020-02-20T01:26:56Z On ss-quasinormal and weakly s-supplemented subgroups of finite groups Li, C. Li, Y. Статті Suppose that G is a finite group and H is a subgroup of G. H is called ss-quasinormal in G if there is a subgroup B of G such that G=HB and H permutes with every Sylow subgroup of B; H is called weakly s-supplemented in G if there is a subgroup T of G such that G=HT and H⋂T≤HₛG, where HₛG is the subgroup of H generated by all those subgroups of H which are s-quasinormal in G. In this paper we investigate the influence of ss-quasinormal and weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized and unified. Нехай G — скiнченна група, а H — пiдгрупа G. Пiдгрупа H називається ss-квазiнормальною в G, якщо iснує така пiдгрупа B групи G, що G=HB i H є переставною з кожною силовською пiдгрупою пiдгрупи B; H називається слабко s-доповнюваною в G, якщо iснує така пiдгрупа T групи G, що G=HT i H⋂T≤HₛG, де HₛG — пiдгрупа H, що породжена усiма пiдгрупами H, якi є s-квазiнормальними в G. У данiй роботi дослiджено вплив ss-квазiнормальних та слабко s-доповнюваних пiдгруп на структуру скiнченних груп. Узагальнено та унiфiковано деякi нещодавнi результати. 2011 Article On ss-quasinormal and weakly s-supplemented subgroups of finite groups / C. Li, Y. Li // Український математичний журнал. — 2011. — Т. 63, № 12. — С. 1623–1631. — Бібліогр.: 25 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/166403 512.5 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Li, C. Li, Y. On ss-quasinormal and weakly s-supplemented subgroups of finite groups Український математичний журнал |
| description |
Suppose that G is a finite group and H is a subgroup of G. H is called ss-quasinormal in G if there is a subgroup B of G such that G=HB and H permutes with every Sylow subgroup of B; H is called weakly s-supplemented in G if there is a subgroup T of G such that G=HT and H⋂T≤HₛG, where HₛG is the subgroup of H generated by all those subgroups of H which are s-quasinormal in G. In this paper we investigate the influence of ss-quasinormal and weakly s-supplemented subgroups on the structure of finite groups. Some recent results are generalized and unified. |
| format |
Article |
| author |
Li, C. Li, Y. |
| author_facet |
Li, C. Li, Y. |
| author_sort |
Li, C. |
| title |
On ss-quasinormal and weakly s-supplemented subgroups of finite groups |
| title_short |
On ss-quasinormal and weakly s-supplemented subgroups of finite groups |
| title_full |
On ss-quasinormal and weakly s-supplemented subgroups of finite groups |
| title_fullStr |
On ss-quasinormal and weakly s-supplemented subgroups of finite groups |
| title_full_unstemmed |
On ss-quasinormal and weakly s-supplemented subgroups of finite groups |
| title_sort |
on ss-quasinormal and weakly s-supplemented subgroups of finite groups |
| publisher |
Інститут математики НАН України |
| publishDate |
2011 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/166403 |
| citation_txt |
On ss-quasinormal and weakly s-supplemented subgroups of finite groups / C. Li, Y. Li // Український математичний журнал. — 2011. — Т. 63, № 12. — С. 1623–1631. — Бібліогр.: 25 назв. — англ. |
| series |
Український математичний журнал |
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AT lic onssquasinormalandweaklyssupplementedsubgroupsoffinitegroups AT liy onssquasinormalandweaklyssupplementedsubgroupsoffinitegroups |
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2023-10-18T22:18:23Z |
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2023-10-18T22:18:23Z |
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