On the Frattini subgroup of a finite group

DOI10.1016/j.jalgebra.2016.09.010zbMath1357.20007arXiv1605.02228OpenAlexW2392419943MaRDI QIDQ335604

Stefanos Aivazidis, Adolfo Ballester-Bolinches

Publication date: 2 November 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.02228

zbMATH Keywords

Frattini subgroupformation of groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Subnormal subgroups of abstract finite groups (20D35)

Related Items (2)

Strongly base-two groups ⋮ On the Φ-hypercentral subgroups of finite groups

Cites Work

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• Locally complemented formations
• Finite soluble groups
• On finite soluble groups which behave like nilpotent groups with respect to the Frattini group
• Complementation in groups
• Über die \(\Phi\)-Untergruppe endlicher Gruppen
• The Prefrattini Residual
• Two Applications of Twisted Wreath Products to Finite Soluble Groups
• Characterizations of schunck classes of finite groups
• On maximal subgroups of finite groups

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