A problem in the theory of normal Fitting classes

DOI10.1007/BF01218821zbMath0283.20016OpenAlexW2028411212MaRDI QIDQ1844300

John Cossey, R. A. Bryce

Publication date: 1975

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172159

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 (14)

Residuals of direct products and relative normality in formations ⋮ Strong containment of Fitting classes ⋮ On Lockett's conjecture for \(\sigma \)-local Fitting classes ⋮ Relevant groups for Fitting classes ⋮ Frattiniduale und Fittingklassen endlicher auflösbarer Gruppen ⋮ Fitting pairs from direct limits and the lockett conjecture ⋮ Problems related to the Lockett conjecture on Fitting classes of finite groups. ⋮ Normal Fitting classes and Hall subgroups ⋮ Über nichtauflösbare normale Fittingklassen ⋮ Strict normality in Fitting classes. I ⋮ Strict normality in Fitting classes. II ⋮ Über den Rand einer Fittingklasse endlicher auflösbarer Gruppen ⋮ Eine Bemerkung zur kleinsten normalen Fittingklasse ⋮ Strict normality in fitting classes.III

Cites Work

• The Fitting class \({\mathfrak F}^*\)
• Injektoren endlicher auflösbarer Gruppen
• Über normale Schunck- und Fittingklassen
• Skeletal classes of soluble groups
• On Fischer's Dualization of Formation Theory

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