On S-quasinormally embedded subgroups of finite groups

A subgroup of a group G is said to be S-quasinormal in G if it permutes with every Sylow subgroup of G. A subgroup H of a group G is said to be S-quasinormally embedded in G if for each prime p dividing the order of H, a Sylow p-subgroup of H is also a Sylow p-subgroup of some S-quasinormal subgroup of G. In this paper we investigate the influence of S-quasinormally embedded of some subgroups of prime power order on the structure of finite groups. Our results improve and extend recent results of Ballester-Bolinches and Pedraza-Aguilera (J. Pure Appl. Algebra 127 (1998) 113).