On a class of finite groups

• Autores: Shirong Li, Adolfo Ballester-Bolinches
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 1, 2007, págs. 23-31
• Idioma: inglés
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• Resumen

  • Let L be the class of all finite groups G such that every supersolvable subgroup of G is nilpotent. It is proved in the paper that L is composed of solvable groups and is the largest saturated Fitting formation such that the intersection of L and U is contained in N, where U is the class of all supersolvable groups and N is the class of all nilpotent groups. Some properties of L-groups are also exhibited.