On weakly SS-quasinormal minimal subgroups of finite groups

• Autores: Xianggui Zhong, Shirong Li
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 1, 2011, pág. 14
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4769
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• Resumen

  • A subgroup H of a group G is said to be weakly SS-quasinormal if there exists a subgroup B of G such that HB is normal in G and for any prime p with (p; jHj) = 1, H permutes with every Sylow p-subgroup of B and Sylp(B)  Sylp(G). In this article, we study the inuence of weakly SS-quasinormal minimal subgroups of a nite group.

    Our results generalize the recent results obtained about the classi cation of a group by considering the SS-quasinormality of some subgroups