This article is cited in 4 papers

MATHEMATICS

On the problem of intersections of the maximal $\theta$-subgroups of finite groups

L. M. Belokon

Mogilev State University of Food Technologies, Mogilev, Belarus

Abstract: Let $\mathfrak{F}$ be a nonempty formation, $\pi$ — some set of prime numbers. The theorems reflecting the general regularities on intersections of maximal subgroups of a finite group mutually simple with numbers from $\pi$ indexes including statements on the intersections $\Phi_{\pi,\overline{\widetilde{F}_{\Phi_\pi}(G)}}(G)$ and $\Delta^{\mathfrak{F}}_{\pi,\overline{\widetilde{F}_{\Delta^{\mathfrak{F}}_\pi}(G)}}(G)$ are received.

Keywords: formations of finite groups, subgroup $m$-functor, intersections of maximal $\theta$-subgroups in a finite group.

UDC: 512.542

Received: 03.04.2015