Ballester-Bolinches, AdolfoEsteban Romero, RamónQiao, ShouHong2017-06-162017-06-162016-060003-889Xhttps://riunet.upv.es/handle/10251/83059The final publication is available at Springer via http://dx.doi.org/10.1007/s00013-016-0901-7In this note, global information about a finite group is obtained by assuming that certain subgroups of some given order are S-semipermutable. Recall that a subgroup H of a finite group G is said to be S-semipermutable if H permutes with all Sylow subgroups of G of order coprime to . We prove that for a fixed prime p, a given Sylow p-subgroup P of a finite group G, and a power d of p dividing such that , if is S-semipermutable in for all normal subgroups H of P with , then either G is p-supersoluble or else . This extends the main result of Guo and Isaacs in (Arch. Math. 105:215-222 2015). We derive some theorems that extend some known results concerning S-semipermutable subgroups.Reserva de todos los derechosFinite groupP-supersoluble groupS-semipermutable subgroupMATEMATICA APLICADAArtículo10.1007/s00013-016-0901-7Abierto