Radical classes of finite groups with the Lockett conditions

DOI10.1007/BF01152543zbMath0681.20010MaRDI QIDQ1823309

Nikolay T. Vorob'ev

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Fitting classessolvable groupsLockett conjecturenormal Fitting classesLockett conditionlocal Fitting class

Mathematics Subject Classification ID

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

Related Items

On Lockett's conjecture for \(\sigma \)-local Fitting classes ⋮ Formations defined by Doerk–Hawkes operation ⋮ The sublattice of the lattice of π-normal Fitting classes ⋮ On ℱ-injectors of fitting set of a finite group ⋮ Factorizations of Fitting classes. ⋮ Problems related to the Lockett conjecture on Fitting classes of finite groups. ⋮ On the problem of Frattini duality in the theory of Fitting classes ⋮ On the theory of \(\mathfrak F\)-centrality of chief factors and \(\mathfrak F\)-hypercentre for Fitting classes. ⋮ On \(\sigma\)-local Fitting classes

Cites Work

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• Über nichtauflösbare normale Fittingklassen
• Eine Bemerkung zur kleinsten normalen Fittingklasse
• Über Fittingklassen und die Lockett-Vermutung
• The Fitting class \({\mathfrak F}^*\)
• On Products of Fitting Classes
• Subgroup closed Fitting classes are formations