On SΦ-Supplemented Subgroups of Finite Groups by Coprime Actions

Let G and A be finite groups of relative coprime orders and suppose A acts on G via automorphisms. In this paper, we investigate the p -nilpotency and solvability of finite groups in which every maximal A -invariant subgroup of a Sylow p -subgroup of G is an SΦ -supplemented subgroup for some prime p .