On $\mathfrak{F}_n$-SUPPLEMENTED SUBGROUPS OF FINITE GROUPS

DOI10.1142/S1793557108000485zbMath1176.20018OpenAlexW90150419MaRDI QIDQ3622576

Nanying Yang, Wen-Bin Guo

Publication date: 28 April 2009

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557108000485

zbMATH Keywords

soluble groupsfinite groupsformationssupplemented subgroupssupersoluble groups

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)

Related Items (3)

On \(\mathfrak F_h\)-normal subgroups of finite groups. ⋮ A covering subgroup system for the class of \(p\)-nilpotent groups. ⋮ On \(\mathfrak F_n\)-normal subgroups of finite groups.

Cites Work

• Produkte nilpotenter Gruppen
• New criteria for the solvability of finite groups
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• \(C\)-normality of groups and its properties
• Solvability of groups of odd order
• On ${\mathcal U}_c$-Normal Subgroups of Finite Groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.

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