The influence of s-conditionally permutable subgroups on finite solvable groups

A subgroup H of a finite group G is said to be s-conditionally permutable in G if for every Sylow subgroup X of G, there exists an element g ∈ G such that HX^g = X^g H. Th e aim of this paper is to study the structure of finite group G in which every p-subgroup of G or every subnormal subgroup of G is s-conditionally permutable in G.