A CRITERION FOR THE p-SUPERSOLUBILITY OF FINITE GROUPS

DOI10.1142/S0219498810003768zbMath1188.20018OpenAlexW2020349121MaRDI QIDQ5305532

Vladimir O. Lukyanenko, Alexander N. Skiba

Publication date: 22 March 2010

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498810003768

zbMATH Keywords

Hall subgroupsSylow subgroupsproducts of subgroupspermutable subgroups\(p\)-supersoluble groups\(p\)-lengths\(p\)-soluble groupssupersolubility of finite groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

\(p\)-supersolvability and actions on \(p\)-groups stabilizing certain subgroups.

Cites Work

• Produkte nilpotenter Gruppen
• Zur Sylowstruktur auflösbarer Gruppen
• Classes of Finite Groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

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