Abstract A subgroup H of a finite group G is called a weak second maximal subgroup of G if there exists a maximal subgroup M of G such that H… Click to show full abstract
Abstract A subgroup H of a finite group G is called a weak second maximal subgroup of G if there exists a maximal subgroup M of G such that H is a maximal subgroup of M. Let m(G, H) denote the number of maximal subgroups of G containing H. In this paper the classification of finite groups G is given if is solvable and H is a weak second maximal subgroup of G such that is equal to the index of some maximal subgroup of G, which make us understand the difference between the weak second maximal subgroups and the second maximal subgroups.
               
Click one of the above tabs to view related content.