A covering subgroup system for the class of \(p\)-nilpotent groups.

DOI10.1134/S0037446612020176zbMath1272.20011OpenAlexW2081665470MaRDI QIDQ1760510

Xianqiang Yang

Publication date: 14 November 2012

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612020176

zbMATH Keywords

finite groupsSylow subgroupsquasinormal subgroups\(p\)-nilpotent groupssubgroup embedding propertiescovering subgroup systemssupplements of subgroups

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) Products of subgroups of abstract finite groups (20D40)

Cites Work

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• On \(\mathfrak F_h\)-normal subgroups of finite groups.
• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• On \(\mathcal F\)-supplemented subgroups of finite groups.
• The influence of \(X\)-semipermutability of subgroups on the structure of finite groups.
• Finite soluble groups
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• \(C\)-normality of groups and its properties
• Finite groups with given \(s\)-embedded and \(n\)-embedded subgroups.
• On quasinormal subgroups of finite groups
• On $\mathfrak{F}_n$-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS
• On weakly \(s\)-permutable subgroups of finite groups.

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