A condition for the solvability of finite groups.
A generalized Frattini subgroup of a finite group.
A note on finite group structure influenced by second and third maximal subgroups.
A note on influence of subgroup restrictions in finite group structure.
A note on -solvable and solvable finite groups.
A note on supersoluble maximal subgroup and theta-pairs.
A θ-pair for a maximal subgroup M of a group G is a pair (A, B) of subgroups such that B is a maximal G-invariant subgroup of A with B but not A contained in M. θ-pairs are considered here in some groups having supersoluble maximal subgroups.
A rank 3 tangent complex of , odd.
Abelian groups have/are near Frattini subgroups
The notions of nearly-maximal and near Frattini subgroups considered by J.B. Riles in [20] and the natural related notions are characterized for abelian groups.
All geometries of the Mathieu group based on maximal subgroups.