On Gaschütz's theory of generalized Sylow subgroups

DOI10.1007/BF01235312zbMath0436.20011MaRDI QIDQ1140714

Trevor Hawkes

Publication date: 1980

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

zbMATH Keywords

finite solvable groupsmaximal subgroupsprojectorsprimitive groupsSchunck classesGaschütz-subgroupgeneralized Sylow subgroupsprimitive permutation representation

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)

Cites Work

• Ein allgemeiner Sylowsatz in endlichen auflösbaren Gruppen
• On irreducible representations of \(p\)-soluble groups in characteristic \(p\)
• Existenz und Konjugiertsein von Untergruppen, die in endlichen auflösbaren Gruppen durch gewisse Indexschranken definiert sind
• H-Untergruppen in endlichen auflösbaren Gruppen
• Bounding the Nilpotent Length of a Finite Group, I
• Endliche Gruppen I

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