Criteria of existence of Hall subgroups in non-soluble finite groups.

DOI10.1007/S10114-010-8034-6zbMath1213.20018OpenAlexW2036299172MaRDI QIDQ5962266

Alexander N. Skiba, Wen-Bin Guo

Publication date: 21 September 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-8034-6

zbMATH Keywords

Hall subgroupsfinite groupsmaximal subgroupsSylow subgroupscomplemented subgroupscomplementspermutable subgroups\(p\)-supersolubilitynon-soluble groupsSchur-Zassenhaus theoremsupplements

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 (4)

Conservative compact finite difference scheme for the coupled <scp>S</scp>chrödinger–<scp>B</scp>oussinesq equation ⋮ On Hall subgroups of a finite group. ⋮ Conservative Fourier spectral scheme for the coupled Schrödinger-Boussinesq equations ⋮ Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger–Boussinesq equations

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• Schur–Zassenhaus Theorem for X-Permutable Subgroups
• Endliche Gruppen I
• On the System Normalizers of a Soluble Group

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