Multiply \(\omega\)-local formations and Fitting classes of finite groups

zbMath0969.20015MaRDI QIDQ5932610

Alexander N. Skiba, L. A. Shemetkov

Publication date: 10 June 2001

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(\omega\)-local formationslattices of formationsmaximal subformationsproducts of Fitting classesproducts of formationssputniks of formations

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Chains and lattices of subgroups, subnormal subgroups (20E15) Formations of groups, Fitting classes (20F17)

Related Items (22)

Separated lattices of multiply \(\sigma \)-local formations ⋮ The \(\mathfrak F^\omega\)-normalizers of finite groups ⋮ A note on compact elements of the lattice of solubly saturated formations ⋮ \(\Omega\)-foliated Fitting classes of \(T\)-groups ⋮ \(\Omega\)-foliated formations of multioperator \(T\)-groups. ⋮ Local definitions of formations of finite groups. ⋮ On algebraicity of lattices of \(\omega \)-fibred formations of finite groups ⋮ On the modularity and algebraicity of the lattice of multiply \(\omega \)-composition Fitting classes ⋮ Unnamed Item ⋮ Uncancellative factorizations of Baer-local formations. ⋮ On the directions of \(\omega\)-fibered and \(\Omega\)-foliated formations and Fitting classes of finite groups ⋮ On the dual theory of a result of Bryce and Cossey ⋮ Unnamed Item ⋮ Ωζ-foliated Fitting Classes ⋮ Lattices of composition formations of finite groups and the laws ⋮ Satellites and products of Ωζ-foliated Fitting classes ⋮ On complete sublattices of formations of finite groups ⋮ \(\mathfrak{F}\)-projectors and \(\mathfrak{F}\)-covering subgroups of finite groups ⋮ On the existence of complements of residuals of finite group ⋮ On the distributivity of the lattice of solvable totally local Fitting classes ⋮ Products of formations of finite groups. ⋮ The lattice properties of 𝔛-local formations of finite groups

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