Finite groups with C -quasinormal subgroups

• Autores: Alexander N. Skiba, O.Yu Titov
• Localización: Siberian mathematical journal, ISSN 0037-4466, Vol. 48, Nº. 3, 2007, págs. 544-554
• Idioma: inglés
• DOI: 10.1007/s11202-007-0056-7
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• Resumen

  • Consider some finite group G and a finite subgroup H of G. Say that H is c-quasinormal in G if G has a quasinormal subgroup T such that HT = G and T n H is quasinormal in G. Given a noncyclic Sylow subgroup P of G, we fix some subgroup D such that 1 < |D| < | P| and study the structure of G under the assumption that all subgroups H of P of the same order as D, having no supersolvable supplement in G, are c-quasinormal in G.