This article is cited in 3 papers

MATHEMATICS

On local properties of the formations of groups with $\mathrm{K}$-$\mathfrak{F}$-subnormal Sylow subgroups

A. S. Vegera

F. Scorina Gomel State University, Gomel, Belarus

Abstract: The class of all finite groups with Sylow $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroups is considered. The condition of saturation of this class is investigated, as well as the local screen in solvable case is established.

Keywords: finite group, Sylow subgroup, $\mathrm{K}$-$\mathfrak{F}$-subnormal subgroup, saturated formation, local formation.

UDC: 512.542

Received: 30.05.2014