scientific article; zbMATH DE number 6893145

zbMath1388.20030MaRDI QIDQ4568575

Alexander N. Skiba

Publication date: 22 June 2018

Full work available at URL: http://mathnet.ru/eng/pfmt558

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zbMATH Keywords

finite group\(\sigma\)-local formationformation \(\sigma\)-function(weakly) \(\mathcal{M}_\sigma^t\)-closed class of groups(weakly) \(S_\sigma^t\)-closed class of groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Products of subgroups of abstract finite groups (20D40)

Related Items (18)

Separated lattices of multiply \(\sigma \)-local formations ⋮ Unnamed Item ⋮ A criterion for σ-locality of a non-empty formation ⋮ Boolean lattices of \(n\)-multiply \(\omega\sigma \)-fibered Fitting classes ⋮ On σ-inductive lattices of n-multiply σ-local formations of finite groups ⋮ On the distributivity and modularity signs of a family of fitting sets of a finite group ⋮ On Lockett's conjecture for \(\sigma \)-local Fitting classes ⋮ On properties of the lattice of all τ -closed n -multiply σ -local formations ⋮ On Baer-σ-local formations of finite groups ⋮ Ωζ-foliated Fitting Classes ⋮ On dualization of a result of Bryce and Cossey theory ⋮ Satellites and products of Ωζ-foliated Fitting classes ⋮ On n-multiply σ-local formations of finite groups ⋮ Unnamed Item ⋮ On the distributivity and modularity properties of the lattice of Fitting classes ⋮ On \({\Sigma}_t^{\sigma }\)-closed classes of finite groups ⋮ On \(\sigma\)-local Fitting classes ⋮ Some properties of n-multiply σ-local formations of finite groups

Cites Work

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• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• Minimal nicht überauflösbare, endliche Gruppen
• Zur Struktur mehrfach faktorischer endlicher Gruppen
• Über die Normalstruktur von mehrfach faktorisierten Gruppen
• Products of Normal Supersolvable Subgroups

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