Schur–Zassenhaus Theorem for X-Permutable Subgroups

DOI10.1142/S1005386708000187zbMath1161.20018MaRDI QIDQ3521676

Wen-Bin Guo, Kar Ping Shum, Alexander N. Skiba

Publication date: 26 August 2008

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

Hall subgroupscomplemented subgroupscomplementspermutable subgroups\(p\)-supersolubilitySchur-Zassenhaus theoremsupplements

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Products of subgroups of abstract finite groups (20D40)

Related Items (13)

Characterizations of finite groups with \(X\)-\(s\)-semipermutable subgroups. ⋮ On Existence of Hall Subgroups in Finite Groups ⋮ New characterizations of finite supersoluble groups. ⋮ New Characterizations ofp-Supersolubility of Finite Groups ⋮ On the \(\pi'\)-properties of a finite group possessing a Hall \(\pi\)-subgroup. ⋮ Finite groups with some given systems of X _m -semipermutable subgroups ⋮ On \(\sigma\)-semipermutable subgroups of finite groups ⋮ New criterions of existence and conjugacy of Hall subgroups of finite groups ⋮ Criteria of existence of Hall subgroups in non-soluble finite groups. ⋮ Products of Finite Supersoluble Groups ⋮ The influence of \(X\)-semipermutability of subgroups on the structure of finite groups. ⋮ The influence of s-conditionally permutable subgroups on finite groups. ⋮ On X-Permutable Subgroups

Cites Work

• Produkte nilpotenter Gruppen
• \(X\)-semipermutable subgroups of finite groups.
• Endliche Gruppen I

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