On 𝔉-radicals of finite π-soluble groups
In this paper, we prove that for every local πsaturated Fitting class 𝔉 with char(𝔉) = P, the F-radical of every finite π-soluble groups G has the property: CG(G𝔉 ) ⊆ G𝔉 . From this, some well known results are followed and some new results are obtained.
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/157379 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On 𝔉-radicals of finite π-soluble groups / W. Guo, Xi Liu, Baojun Li // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 49–54. — Бібліогр.: 7 назв. — англ. |
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Guo, W. Xi Liu Baojun Li 2019-06-20T03:09:11Z 2019-06-20T03:09:11Z 2006 On 𝔉-radicals of finite π-soluble groups / W. Guo, Xi Liu, Baojun Li // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 49–54. — Бібліогр.: 7 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20D10, 20D25. https://nasplib.isofts.kiev.ua/handle/123456789/157379 In this paper, we prove that for every local πsaturated Fitting class 𝔉 with char(𝔉) = P, the F-radical of every finite π-soluble groups G has the property: CG(G𝔉 ) ⊆ G𝔉 . From this, some well known results are followed and some new results are obtained. Research is supports by a NNSF grant of China (Grant #10471118) and a postgraduate innovation grant of Jiangsu. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On 𝔉-radicals of finite π-soluble groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On 𝔉-radicals of finite π-soluble groups |
| spellingShingle |
On 𝔉-radicals of finite π-soluble groups Guo, W. Xi Liu Baojun Li |
| title_short |
On 𝔉-radicals of finite π-soluble groups |
| title_full |
On 𝔉-radicals of finite π-soluble groups |
| title_fullStr |
On 𝔉-radicals of finite π-soluble groups |
| title_full_unstemmed |
On 𝔉-radicals of finite π-soluble groups |
| title_sort |
on 𝔉-radicals of finite π-soluble groups |
| author |
Guo, W. Xi Liu Baojun Li |
| author_facet |
Guo, W. Xi Liu Baojun Li |
| publishDate |
2006 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
In this paper, we prove that for every local πsaturated Fitting class 𝔉 with char(𝔉) = P, the F-radical of every finite π-soluble groups G has the property: CG(G𝔉 ) ⊆ G𝔉 . From
this, some well known results are followed and some new results
are obtained.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/157379 |
| citation_txt |
On 𝔉-radicals of finite π-soluble groups / W. Guo, Xi Liu, Baojun Li // Algebra and Discrete Mathematics. — 2006. — Vol. 5, № 3. — С. 49–54. — Бібліогр.: 7 назв. — англ. |
| work_keys_str_mv |
AT guow onfradicalsoffiniteπsolublegroups AT xiliu onfradicalsoffiniteπsolublegroups AT baojunli onfradicalsoffiniteπsolublegroups |
| first_indexed |
2025-11-27T09:35:49Z |
| last_indexed |
2025-11-27T09:35:49Z |
| _version_ |
1850852105618718721 |