This article is cited in 1 paper

MATHEMATICS

On the intersection of non-$\mathfrak{F}$-subgroups, distinguished by a subgroup function, in groups with operators

R. V. Borodich

Francisk Skorina Gomel State University

Abstract: The structure of a subgroup associated with the intersection of kernels of maximal $A$-admissible subgroups that do not contain the $\mathfrak{F}$-residual and do not belong to the $\mathfrak{F}$ formation whose indices have restrictions are considered. The properties of the corresponding generalized Frattini subgroup are established.

Keywords: finite group, formation, $\mathfrak{F}$-residual.

UDC: 512.542

Received: 04.11.2021

DOI: 10.54341/20778708_2021_4_49_64