Abstract:

A subgroup H of a finite group G is said to be complemented in G if there exists a subgroup K of G such that G =HK and H∩K=1. In this paper, new results of the structure and properties of a finite group G are given, provided some minimal subgroups and subgroups of prime power order are complemented in G.

Key words: complemented subgroup; minimal subgroup; supersolvable group; p-nilpotent group