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PFMT, 2018, Issue 1(34), Pages 45–54 (Mi pfmt552)  

MATHEMATICS

Intersections of maximal $\theta$-subgroups containing formation radicals

L. M. Belokon

Mogilev State University of Food Technologies

Abstract: Intersections $\Phi_{\theta, G_{\mathfrak{F}}}$ of all maximal $\theta$-subgroups of a finite group $G$, containing $G_{\mathfrak{F}}$, for nonempty radical formations $\mathfrak{F}$ and the abnormally full subgroup $m_s$-functor $\theta$ are studied.

Keywords: radical formations of finite groups, $\mathfrak{F}$-radicals, subgroup $m$-functor, intersections of maximal $\theta$-subgroups.

Full text: PDF file (456 kB)
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UDC: 512.542
Received: 12.08.2017

Citation: L. M. Belokon, “Intersections of maximal $\theta$-subgroups containing formation radicals”, PFMT, 2018, no. 1(34), 45–54

Citation in format AMSBIB
\Bibitem{Bel18}
\by L.~M.~Belokon
\paper Intersections of maximal $\theta$-subgroups containing formation radicals
\jour PFMT
\yr 2018
\issue 1(34)
\pages 45--54
\mathnet{http://mi.mathnet.ru/pfmt552}


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