On non-Frattini chief factors and solvability of finite groups.

DOI10.1007/S12044-012-0073-8zbMath1267.20030OpenAlexW2006909590MaRDI QIDQ692354

Qianlu Li, Xiu Yun Guo, Jian-Jun Liu

Publication date: 5 December 2012

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-012-0073-8

zbMATH Keywords

finite groupsmaximal subgroupsFrattini chief factorschief seriessolubilitycover-avoiding propertysemi CAP*-subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items (1)

On partial CAP∗-subgroups of finite groups

Cites Work

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• Finite soluble groups
• On finite insoluble groups with nilpotent maximal subgroups
• Cover-avoidance properties and the structure of finite groups
• Classes of Finite Groups
• On Semi-Cover-Avoiding Maximal Subgroups and Solvability of Finite Groups
• On the Intersection of a Class of Maximal Subgroups of a Finite Group

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