Hall operators for Fitting classes

DOI10.1007/BF01222717zbMath0405.20022OpenAlexW2046470337MaRDI QIDQ1257091

Owen J. Brison

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1007/bf01222717

zbMATH Keywords

F-InjectorFitting Class ProductHall Pi-SubgroupLockett's Upper Star OperationNormal Fitting Classes

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 (9)

Fitting functors in finite solvable groups: II ⋮ Über Vertauschbarkeit, normale Einbettung und Dominanz bei Fittingklassen endlicher auflösbarer Gruppen ⋮ A note on Hall closure of metanilpotent fitting classes ⋮ Fitting functors and radicals of finite groups. ⋮ Factorizations of Fitting classes. ⋮ A criterion for the Hall-closure of Fitting classes ⋮ Fittingfunktoren in endlichen auflösbaren Gruppen. I ⋮ Fitting classes with given properties of Hall subgroups. ⋮ The radical of the Fitting class defined by a Fitting functor and a set of primes

Cites Work

• Products of Fitting classes
• On products and normal fitting classes
• Eine Bemerkung zur kleinsten normalen Fittingklasse
• The Fitting class \({\mathfrak F}^*\)
• Injektoren endlicher auflösbarer Gruppen
• Über normale Schunck- und Fittingklassen
• On the theory of Fitting classes of finite soluble groups
• On Fischer's Dualization of Formation Theory

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