Hall subgroups and \(\pi\)-separable groups

DOI10.1006/jabr.1997.7034zbMath0889.20011OpenAlexW2085171956MaRDI QIDQ1372659

Zhaowei Du

Publication date: 2 April 1998

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7034

zbMATH Keywords

Hall subgroups\(\pi\)-separable groups\(\pi\)-solvable groups

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)

Related Items

Hall Graph of a Finite Group, On \(\sigma\)-supersoluble groups and one generalization of \textit{CLT}-groups, On finite products of groups and supersolubility., \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups, Carter and Gaschütz theories beyond soluble groups

Cites Work

• Unnamed Item
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• On finite factorizable groups
• Subgroups of prime power index in a simple group
• New criteria for the solvability of finite groups
• On the product of two finite solvable groups
• Finite groups containing many subgroups are solvable
• Solvability of groups of odd order
• Hall subgroups of certain families of finite groups
• Theorems Like Sylow's