Finite σ-soluble groups in which σ-permutability is a transitive relation

DOI10.1142/S0219498819500646zbMath1481.20063OpenAlexW2801044980MaRDI QIDQ5383839

Xiaoxing Zhu, Wen-Bin Guo, Ch. Cao

Publication date: 20 June 2019

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

Full work available at URL: https://doi.org/10.1142/s0219498819500646

zbMATH Keywords

finite group\(\sigma\)-permutable subgroupcomplete Hall \(\sigma\)-set\(P \sigma T\)-group\(\mathcal{H}\)-permutable subgroup

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15) Subnormal subgroups of abstract finite groups (20D35)

Related Items (2)

A Robinson description of finite \(P\sigma T\)-groups ⋮ Characterizations of some classes of finite σ -soluble PσT -groups

Cites Work

• On the \(\pi'\)-properties of a finite group possessing a Hall \(\pi\)-subgroup.
• Products of finite groups.
• Finite soluble groups
• On permutable subgroups of finite groups.
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• Finite groups with \(\mathcal H\)-permutable subgroups
• A generalization of a Hall theorem
• Structure Theory for Canonical Classes of Finite Groups
• Classes of Finite Groups
• Endliche Gruppen I

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