The continuation of finite $E_\mathfrak{F}$-groups theory

Abstract

We describe the structure of finite groups with F-subnormal or selfnormalizing primary cyclic subgroups when F is a subgroup-closed saturate superradical formation containing all nilpotent groups. We prove that groups with absolutely F-subnormal or self-normalizing primary cyclic subgroups are soluble when F is a subgroup-closed saturate formation containing all nilpotent groups.