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Algebra and Discrete Mathematics, 2010, Volume 9, Issue 1, Pages 72–78 (Mi adm20)  
This article is cited in 1 scientific paper (total in 1 paper)

RESEARCH ARTICLE

Hall operators on the set of formations of finite groups

Andrei P. Mekhovicha, Nikolay N. Vorob'evb, Nikolay T. Vorob'evb

a Polotsk State Agricultural Economic College, Oktyabrskaya street, 55, Polotsk, 211413, Belarus
b Vitebsk State University of P. M. Masherov, Moscow Avenue, 33, Vitebsk, 210038, Belarus
Full-text PDF (210 kB) Citations (1)
Abstract: Let $\pi$ be a nonempty set of primes and let $\mathfrak F$ be a saturated formation of all finite soluble $\pi$-groups. It is constructed the saturated formation consisting of all finite $\pi$-soluble groups whose $\mathfrak F$-projectors contain a Hall $\pi$-subgroup.
Keywords: $\pi$-subgroup, $\pi$-soluble group, formation of finite groups, saturated formation, canonical satellite, $\mathfrak F$-projector.
Received: 08.11.2009
Revised: 21.05.2010
Bibliographic databases:
Document Type: Article
MSC: 20D10
Language: English
Citation: Andrei P. Mekhovich, Nikolay N. Vorob'ev, Nikolay T. Vorob'ev, “Hall operators on the set of formations of finite groups”, Algebra Discrete Math., 9:1 (2010), 72–78
Citation in format AMSBIB
\Bibitem{MekVorVor10}
\by Andrei P. Mekhovich, Nikolay N. Vorob'ev, Nikolay T. Vorob'ev
\paper Hall operators on the set of formations of finite groups
\jour Algebra Discrete Math.
\yr 2010
\vol 9
\issue 1
\pages 72--78
\mathnet{http://mi.mathnet.ru/adm20}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2676712}
\zmath{https://zbmath.org/?q=an:1209.20012}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Algebra and Discrete Mathematics
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