Relevant groups for Fitting classes

DOI10.1016/0021-8693(81)90283-0zbMath0455.20015OpenAlexW2038839453MaRDI QIDQ1150038

Owen J. Brison

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90283-0

zbMATH Keywords

Lockett classesnormal Fitting classesmetanilpotent Fitting classesLockett sectionF-constructive subgroupF-relevant subgroupLockett conditionnilpotent Fitting classesprimitive saturated formations

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Subnormal subgroups of abstract finite groups (20D35)

Related Items (3)

Fitting classes of certain metanilpotent groups ⋮ Transfer and the theory of Fitting classes ⋮ The Lausch group simplified: a direct product decomposition.

Cites Work

• Unnamed Item
• On metanilpotent Fitting classes
• On a Fitting class of Hawkes
• Displacement and normal Fitting classes of finite groups
• An example in the theory of normal Fitting classes
• Normal Fitting pairs and Lockett's conjecture
• A problem in the theory of normal Fitting classes
• The Fitting class \({\mathfrak F}^*\)
• Über normale Schunck- und Fittingklassen
• The Smallest Normal Fitting Class Revealed
• Metanilpotent fitting classes
• A complete group of odd order
• A Fitting class construction
• On Fischer's Dualization of Formation Theory
• Endliche Gruppen I
• An Example in the Theory of Fitting Classes
• On normal Fitting classes

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