The influence of SNS-permutability of some subgroups on the structure of finite groups

• Autores: Zhencai Shen, Wujie Shi
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 1, 2011, pág. 11
• Idioma: inglés
• DOI: 10.5486/pmd.2011.4664
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• Resumen

  • The following concept is introduced: a subgroup H of the group G is said to be SNS-permutable (Subnormal-Sylow-permutable) in G if there is a subnormal subgroup B of G such that HB = G and H permutes with every Sylow subgroup of B. Groups with certain SNS-permutable subgroups of prime power order are studied.