On the index complex of a maximal subgroup and the group-theoretic properties of a finite group

Let G be a finite group, S^p(G), phi'(G) and phi_1(G) be generalizations of the Frattini subgroup of G. Based on these characteristic subgroups and using Deskins index complex, this paper gets some necessary and suffcient conditions for G to be a p solvable, pi-solvable, solvable, super-solvabl...

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Bibliographic Details
Main Authors: Jiang Lining, Wang Xiaojing
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2005-11-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Online Access:http://www.periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/7458/4289