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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| Published in: | Algebra and Discrete Mathematics |
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| 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 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. |