Finite groups with some weakly pronormal subgroups

Abstract

A subgroup H of a finite group G is called weakly pronormal in G if there exists a subgroup K of G such that G=HKG=HK and H∩KH\cap K is pronormal in G. In this paper, we investigate the structure of the finite groups in which some subgroups are weakly pronormal. Our results improve and generalize many known results.

Keywords

• weakly pronormal subgroups
• hypercenter
• minimal subgroups
• saturated formations
• 20d10
• 20d20