On weakly ℋC-embedded subgroups of finite groups

DOI10.1142/S0219498816500778zbMath1338.20017MaRDI QIDQ2801824

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Publication date: 22 April 2016

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

zbMATH Keywords

finite groupssaturated formationssupersolvable groupssubgroup embedding propertiessupplemented subgroups\(\mathcal H\)-subgroups\(c\)-normal subgroups\(\mathcal{HC}\)-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) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (6)

On weakly ℋC-embedded subgroups and p-nilpotence of finite groups ⋮ Finite groups of even orders all of whose fourth maximal subgroups are weakly \(s_2\)-permutable ⋮ Finite groups with weakly \(\mathcal{H}\mathcal{C}\)-embedded subgroups ⋮ A criterion for p-supersolvability of finite groups ⋮ Finite groups with weakly ℋC-embedded subgroups ⋮ On \(\mathcal {SSH}\)-subgroups of finite groups

Cites Work

• Finite soluble groups
• Endliche Gruppen I
• On weakly \(s\)-permutable subgroups of finite groups.
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