Resumen de On weakly SS-permutable subgroups of a finite group

Xuanli He, Yangming Li , Yanming Wang

• Suppose that G is a ¯nite group and H is a subgroup of G. We say that H is SS-permutable in G if there is a supplement B of H to G such that H permutes with every Sylow subgroup of B; H is weakly SS-permutable in G if there exist a subnormal subgroup T of G and an SS-permutable subgroup Hss of G contained in H such that G = HT and H \ T · Hss. We investigate the in°uence of weakly SS-permutable subgroups on the structure of ¯nite groups. Some recent results are generalized and uni¯ed.