On weakly SS-quasinormal minimal subgroups of finite groups

A subgroup H of a group G is said to be weakly SS-quasinormal if there exists a subgroup B of G such that HB is normal in G and for any prime p with (p; jHj) = 1, H permutes with every Sylow p-subgroup of B and Sylp(B) Sylp(G). In this article, we study the inuence of weakly SS-quasinormal minimal subgroups of a nite group. Our results generalize the recent results obtained about the classi cation of a group by considering the SS-quasinormality of some subgroups