On Hawkes's conjecture for radical classes

DOI10.1007/BF02106737zbMath0877.20012OpenAlexW153681394WikidataQ122900551 ScholiaQ122900551MaRDI QIDQ1357970

Nikolay T. Vorob'ev

Publication date: 3 December 1997

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

Full work available at URL: https://doi.org/10.1007/bf02106737

zbMATH Keywords

hereditary radical saturated formationssoluble formations of finite groupssoluble radical classestotally local formations

Mathematics Subject Classification ID

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

Related Items (15)

Local factorisations of nonlocal Fitting classes ⋮ Boolean lattices of \(n\)-multiply \(\omega\sigma \)-fibered Fitting classes ⋮ On the problem of existence and conjugacy of injectors of partially \(\pi\)-soluble groups ⋮ On the distributivity and modularity signs of a family of fitting sets of a finite group ⋮ On the modularity and algebraicity of the lattice of multiply \(\omega \)-composition Fitting classes ⋮ On the dual theory of a result of Bryce and Cossey ⋮ On Injectors Of Finite Soluble Groups ⋮ Formations defined by Doerk–Hawkes operation ⋮ On dualization of a result of Bryce and Cossey theory ⋮ On ℱ-injectors of fitting set of a finite group ⋮ A characterization of dominant local Fitting classes. ⋮ On the problem of Frattini duality in the theory of Fitting classes ⋮ On the distributivity and modularity properties of the lattice 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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• Finite soluble groups
• Products of Fitting classes
• On Lockett's conjecture for finite groups
• Skeletal classes of soluble groups
• Locally defined Fitting classes
• On Fischer's Dualization of Formation Theory
• Subgroup closed Fitting classes are formations

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