An intersection property of Hall \(\pi\)-subgroups affecting \(\pi\)-length in finite \(\pi\)-solvable groups

DOI10.1007/BF01268922zbMath0854.20027OpenAlexW2911694136MaRDI QIDQ1924952

Arnold D. Feldman

Publication date: 22 November 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01268922

zbMATH Keywords

finite groupsHall \(\pi\)-subgroups\(\pi\)-lengthfinite \(\pi\)-solvable groupsbadly \(p\)-\(r\) separated groupsproperty \({\mathbf I}_ \pi\)solvable \(\{p,q,r\}\)-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)

Cites Work

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• A remark on the reduction of Hall subgroups in finite soluble groups
• Finite soluble groups
• On the Carter subgroup of a solvable group
• On the theory of Fitting classes of finite soluble groups
• Endliche Gruppen I