Closure properties for Fitting functors

DOI10.1007/BF01300063zbMath0679.20016MaRDI QIDQ1822615

Peter Hauck, James C. Beidleman

Publication date: 1989

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178433

zbMATH Keywords

finite solvable groupsFitting classesclosure operatorsradicalsinjectorsFischer classesFitting functorsnormally embedded subgroups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10)

Related Items (2)

Fitting functors and radicals of finite groups. ⋮ Cover-Avoidance and Frattini Argument

Cites Work

• Fittingfunktoren in endlichen auflösbaren Gruppen. I
• Fittingklassen mit zusätzlichen Abschlußeigenschaften. (Fitting classes with additional closure properties)
• Conjugate \(\pi\)-normally embedded Fitting functors
• The Fitting class \({\mathfrak F}^*\)
• Some examples in the theory of injectors of finite soluble groups
• p-normally embedded subgroups of finite soluble groups
• On the theory of Fitting classes of finite soluble groups
• Fitting functors in finite solvable groups: II
• A Fitting class construction
• On Fischer's Dualization of Formation Theory

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