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Algebra i logika, 2001, Volume 40, Number 5, Pages 545–560 (Mi al235)  

This article is cited in 2 scientific papers (total in 2 papers)

Factorizations of One-Generated Composition Formations

W. Guoa, A. N. Skibab

a Xuzhou Normal University, Xuzhou, Republic of China
b Francisk Skorina Gomel State University
Abstract: A non-empty formation $\mathfrak F$ of finite groups is said to be solubly saturated, or we call it a composition formation, if every finite group $G$ having a normal subgroup $N$ such that $G/\Phi(N)\in\mathfrak F$ belongs to $\mathfrak F$. An intersection of all composition formations containing a given group $G$ is denoted $c\operatorname{form}G$. Conditions are described under which $\mathfrak F=c\operatorname{form}G$ has the form $\mathfrak F=\mathfrak{MH}$, where $\mathfrak M\ne\mathfrak F\ne\mathfrak H$.
Keywords: composition formation (= solubly saturated formation of finite groups), solubly normal subgroup.
Received: 03.02.2000
English version:
Algebra and Logic, 2001, Volume 40, Issue 5, Pages 306–314
DOI: https://doi.org/10.1023/A:1012501818174
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: W. Guo, A. N. Skiba, “Factorizations of One-Generated Composition Formations”, Algebra Logika, 40:5 (2001), 545–560; Algebra and Logic, 40:5 (2001), 306–314
Citation in format AMSBIB
\Bibitem{GuoSki01}
\by W.~Guo, A.~N.~Skiba
\paper Factorizations of One-Generated Composition Formations
\jour Algebra Logika
\yr 2001
\vol 40
\issue 5
\pages 545--560
\mathnet{http://mi.mathnet.ru/al235}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1917531}
\zmath{https://zbmath.org/?q=an:1017.20010}
\transl
\jour Algebra and Logic
\yr 2001
\vol 40
\issue 5
\pages 306--314
\crossref{https://doi.org/10.1023/A:1012501818174}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52549126519}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Алгебра и логика Algebra and Logic
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