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.

UDC: 512.542

Received: 12.08.2017