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Algebra and Discrete Mathematics, 2006, Issue 3, Pages 49–54 (Mi adm270)  
This article is cited in 4 scientific papers (total in 4 papers)

RESEARCH ARTICLE

On $\mathfrak{F}$-radicals of finite $\pi$-soluble groups

Wenbin Guo, Xi Liu, Baojun Li

Department of Mathematics, Xuzhou Normal University, Xuzhou, 221116, P. R. China; and Department of Mathematics, University of Science and Technology of China Hefei 230026, P. R. China
Full-text PDF (201 kB) Citations (4)
Abstract: In this paper, we prove that for every local $\pi$-saturated Fitting class $\mathcal{F}$ with $char(\mathcal{F})=\mathbb{P}$, the $\mathcal{F}$-radical of every finite $\pi$-soluble groups $G$ has the property: $C_G(G_\mathcal{F})\subseteq G_\mathcal{F}$. From this, some well known results are followed and some new results are obtained.
Keywords: Finite group; $\pi$-soluble group; $\mathcal{F}$-radical, Fitting class.
Received: 22.10.2005
Revised: 21.11.2006
Bibliographic databases:
Document Type: Article
MSC: 20D10, 20D25
Language: English
Citation: Wenbin Guo, Xi Liu, Baojun Li, “On $\mathfrak{F}$-radicals of finite $\pi$-soluble groups”, Algebra Discrete Math., 2006, no. 3, 49–54
Citation in format AMSBIB
\Bibitem{GuoLiuLi06}
\by Wenbin~Guo, Xi~Liu, Baojun~Li
\paper On $\mathfrak{F}$-radicals of finite $\pi$-soluble groups
\jour Algebra Discrete Math.
\yr 2006
\issue 3
\pages 49--54
\mathnet{http://mi.mathnet.ru/adm270}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2321933}
\zmath{https://zbmath.org/?q=an:1116.20301}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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