The Fitting class \({\mathfrak F}^*\)

DOI10.1007/BF01214854zbMath0286.20017OpenAlexW1997165163MaRDI QIDQ1845943

F. Peter Lockett

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/172062

Mathematics Subject Classification ID

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

Related Items (55)

Fittingklassen mit zusätzlichen Abschlußeigenschaften. (Fitting classes with additional closure properties) ⋮ Maximal Fitting subclasses of the class of all finite \(\pi\)-groups. ⋮ Examples of supersoluble Lockett sections ⋮ An analog of Shemetkov's conjecture for Fischer classes of finite groups. ⋮ Residuals of direct products and relative normality in formations ⋮ Fittingklassen und Kranzprodukte ⋮ Strong containment of Fitting classes ⋮ Fittingränder und Lockettabschnitte für Fittingklassen endlicher auflösbarer Gruppen ⋮ Fitting functors in finite solvable groups: II ⋮ On Lockett's conjecture for \(\sigma \)-local Fitting classes ⋮ Über Vertauschbarkeit, normale Einbettung und Dominanz bei Fittingklassen endlicher auflösbarer Gruppen ⋮ On a Fitting class of Hawkes ⋮ Relevant groups for Fitting classes ⋮ Frattiniduale und Fittingklassen endlicher auflösbarer Gruppen ⋮ On the dual theory of a result of Bryce and Cossey ⋮ Fitting pairs from direct limits and the lockett conjecture ⋮ Formations defined by Doerk–Hawkes operation ⋮ The sublattice of the lattice of π-normal Fitting classes ⋮ On dualization of a result of Bryce and Cossey theory ⋮ Cover-Avoidance and Frattini Argument ⋮ Transfer normal Fitting pairs do not always suffice ⋮ Factorizations of Fitting classes. ⋮ Products of Fitting classes ⋮ On the distributivity of the lattice of solvable totally local Fitting classes ⋮ Problems related to the Lockett conjecture on Fitting classes of finite groups. ⋮ An example in the theory of normal Fitting classes ⋮ Relative normality in Fitting classes ⋮ Normal Fitting classes and Hall subgroups ⋮ Endliche auflösbare Gruppen mit normalem \(\mathfrak I\)-Injektor ⋮ Über nichtauflösbare normale Fittingklassen ⋮ On products and normal fitting classes ⋮ Über endlich erzeugte 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 ⋮ The join of two Fitting classes ⋮ Endliche auflösbare Gruppen mit normalem F-Injektor. II ⋮ Normal Fitting pairs and Lockett's conjecture ⋮ On the residual of a direct product ⋮ Hall operators for Fitting classes ⋮ Über Fittingklassen und die Lockett-Vermutung ⋮ A criterion for the Hall-closure of Fitting classes ⋮ Finite \(\pi\)-groups with normal injectors. ⋮ On the problem of Frattini duality in the theory of Fitting classes ⋮ On the distributivity and modularity properties of the lattice of Fitting classes ⋮ Closure properties for Fitting functors ⋮ Radical classes of finite groups with the Lockett conditions ⋮ Transfer and the theory of Fitting classes ⋮ On \(\sigma\)-local Fitting classes ⋮ A problem in the theory of normal Fitting classes ⋮ The Fitting class \({\mathcal F}\cdot {\mathcal S}\) ⋮ Fittingfunktoren in endlichen auflösbaren Gruppen. I ⋮ The Lausch group simplified: a direct product decomposition. ⋮ Strict normality in fitting classes.III

Cites Work

• Injektoren endlicher auflösbarer Gruppen
• Über normale Schunck- und Fittingklassen
• On Normal Fischer Classes

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