Properties and Mp-supplemented subgroups of finite groups.

In this paper, we investigated influence of M p -supplemented p-subgroups contained in a normal subgroup on structure of finite groups. We obtained some new criteria for p-supersolvability of finite groups, decided all possible non-Abelian pd-chief factors under our assumption and gave a Frobenius type theorem. Some earlier results on M p -supplemented p-subgroups appear as particular cases. [ABSTRACT FROM AUTHOR]