On one question of Shemetkov about composition formations

Abstract

In this paper one construction of composition formations was introduced. This construction contains formations of quasinilpotent groups, c-supersoluble groups, groups defined by ranks of chief factors and some new classes of groups. A partial answer on a question of L. A. Shemetkov about the intersection of F-maximal subgroups and the F-hypercenter was given for these composition formations.