Strict normality in Fitting classes. I

DOI10.1016/0021-8693(78)90144-8zbMath0381.20016OpenAlexW4206583067MaRDI QIDQ1248161

Ben Brewster, James C. Beidleman

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90144-8

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (6)

Conjugate \(\pi\)-normally embedded Fitting functors ⋮ Normal -Fitting classes ⋮ Strong containment of Fitting classes ⋮ Strict normality in Fitting classes. II ⋮ Strict normality in fitting classes.III ⋮ On locally normal Fitting classes of finite soluble groups

Cites Work

• Über Homomorphe endlicher auflösbarer Gruppen
• Relative normality in Fitting classes
• The family of Schunck classes as a lattice
• On strong containment of locally defined formations
• A problem in the theory of normal Fitting classes
• Normal Fitting classes and the Lockett ordering
• The Fitting class \({\mathfrak F}^*\)
• On an embedding property of generalized Carter subgroups
• Zur Theorie der Formationen
• On the theory of Fitting classes of finite soluble groups
• A Fitting class construction
• Fitting Classes with the Wreath Product Property are Normal
• An Example in the Theory of Fitting Classes

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