On weakly SS-permutable subgroups of a finite group

• Autores: Xuanli He, Yangming Li, Yanming Wang
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 77, Fasc. 1-2, 2010, págs. 65-77
• Idioma: inglés
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• Resumen

  • 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.