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.
Classification of finite groups satisfying a minimal condition.
Constructing a maximal cofinitary group.
-nilpotent groups and a Frattini-like subgroup
Finitary linear images of finitary linear groups.
Finite groups with Hall supplements to primitive subgroups.
Finite simple groups with complemented maximal subgroups.
Finite subgroups of .
Free products with amalgamation of finite groups and finite outer automorphism groups of free groups
Generalizations of Sylow's theorem.
Imprimitive Maximal Subgroups of the Orthogonal, Special Orthogonal, Unitary and Special Unitary Groups.
Intersecting maximals
Given a class of finite groups and a finite group , the authors study the subgroup intersection of maximal subgroups that do not belong to .