The structure of finite groups and \(\theta\)-pairs of general subgroups.

DOI10.1515/math-2015-0057zbMath1350.20018OpenAlexW2518035759MaRDI QIDQ317717

Xinjian Zhang, Yong Xu, Hai-long Hou

Publication date: 4 October 2016

Published in: Open Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/math-2015-0057

zbMATH Keywords

finite groupsnilpotencysupersolvability\(\theta\)-pairs of subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• On saturated formations, theta-pairs and completions in finite groups
• \(C\)-normality of groups and its properties
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• On Theta Pairs for a Maximal Subgroup
• On theta pairs for a maximal subgroup
• On maximal subgroups of finite groups and theta pairs
• Endliche Gruppen I
• On the bound of the Lyapunov exponents for continuous systems
• On weakly \(s\)-permutable subgroups of finite groups.

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