ON WEAKLY AH-SUBGROUPS OF FINITE GROUPS

An A-invariant subgroup H of a finite group G is called weakly AH-subgroup of G if there exists an A-invariant normal subgroup K of G such that $G=HK$ and H∩ K∈ H(G), where H(G) is the set of all H-subgroups of a group G. In this paper, we obtain some results on weakly AH-subgroups and by using these results, we are able to determine the structures of some groups.