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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
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
Linking options:
https://www.mathnet.ru/eng/al235 https://www.mathnet.ru/eng/al/v40/i5/p545
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Abstract page: | 389 | Full-text PDF : | 122 | References: | 1 | First page: | 1 |
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