On -radicals of finite π-soluble groups
In this paper, we prove that for every local πsaturated Fitting class with char() = P, the F-radical of every finite π-soluble groups G has the property: CG(G ) ⊆ G . From
 this, some well known results are followed and some new results
 are obtained.
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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2006 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157379 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On -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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862593209109053440 |
|---|---|
| author | Guo, W. Xi Liu Baojun Li |
| author_facet | Guo, W. Xi Liu Baojun Li |
| citation_txt | On -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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | In this paper, we prove that for every local πsaturated Fitting class with char() = P, the F-radical of every finite π-soluble groups G has the property: CG(G ) ⊆ G . From
this, some well known results are followed and some new results
are obtained.
|
| first_indexed | 2025-11-27T09:35:49Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-157379 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-27T09:35:49Z |
| publishDate | 2006 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Guo, W. Xi Liu Baojun Li 2019-06-20T03:09:11Z 2019-06-20T03:09:11Z 2006 On -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 with char() = P, the F-radical of every finite π-soluble groups G has the property: CG(G ) ⊆ G . 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 -radicals of finite π-soluble groups Article published earlier |
| spellingShingle | On -radicals of finite π-soluble groups Guo, W. Xi Liu Baojun Li |
| title | On -radicals of finite π-soluble groups |
| title_full | On -radicals of finite π-soluble groups |
| title_fullStr | On -radicals of finite π-soluble groups |
| title_full_unstemmed | On -radicals of finite π-soluble groups |
| title_short | On -radicals of finite π-soluble groups |
| title_sort | on -radicals of finite π-soluble groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/157379 |
| work_keys_str_mv | AT guow onradicalsoffiniteπsolublegroups AT xiliu onradicalsoffiniteπsolublegroups AT baojunli onradicalsoffiniteπsolublegroups |