MATHEMATICS

Finite groups with a given system of formation maximal subgroups

A. K. Furs

Francisk Skorina Gomel State University

Abstract: We study finite groups that have three or four pairwise non-conjugate maximal subgroups belonging to a given saturated formation. New criteria for the belonging of a finite group to saturated formations of a supersoluble type are obtained.

Keywords: finite group, maximal subgroup, non-normal subgroup, supersoluble group, $w$-supersoluble group, saturated formation.

UDC: 512.542

Received: 19.10.2021

DOI: 10.54341/20778708_2022_1_50_94