@article{3a36c0df77884c8bb7d7e8b3a3fadc27,
title = "On the index complex of a maximal subgroup and the group-theoretic properties of a finite group",
abstract = "Let G be a finite group, Sp(G);Φ'(G) and Φ1(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 su±cient conditions for G to be a p-solvable, π-solvable, solvable, super-solvable and nilpotent group.",
keywords = "Index complex, Nilpo-tent groups, Solvable groups, Super-solvable groups",
author = "Wang Xiaojing and Jiang Lining",
year = "2005",
doi = "10.5269/bspm.v23i1-2.7458",
language = "English",
volume = "23",
pages = "65--72",
journal = "Boletim da Sociedade Paranaense de Matematica",
issn = "0037-8712",
publisher = "Sociedade Brasileira de Matematica",
number = "1-2",
}