On σ-inductive lattices of n-multiply σ-local formations of finite groups

DOI10.1142/S0219498824500178zbMath1529.20022arXiv2105.00430OpenAlexW4296019791MaRDI QIDQ6084821

Inna N. Safonova

Publication date: 2 December 2023

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.00430

zbMATH Keywords

\(\sigma\)-local formationformation \(\sigma\)-functionlattice of formationssubgroup functor\(\tau\)-closed \(n\)-multiply \(\sigma\)-local formation

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30)

Related Items (2)

On properties of the lattice of all τ -closed n -multiply σ -local formations ⋮ Characterizations of some classes of finite σ -soluble PσT -groups

Cites Work

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• A generalization of Kramer's theory
• Separated lattices of multiply \(\sigma \)-local formations
• Finite soluble groups
• Some characterizations of finite \(\sigma\)-soluble \(P\sigma T\)-groups
• Subnormality and residuals for saturated formations: a generalization of Schenkman's theorem
• \(G\)-covering subgroup systems for some classes of \(\sigma\)-soluble groups
• Criteria for \(\sigma \)-solvability and meta-\( \sigma \)-nilpotency of a finite group
• On \(\sigma\)-subnormality criteria in finite \(\sigma\)-soluble groups
• Laws of the lattices of \(\sigma \)-local formations of finite groups
• On \(\sigma \)-subnormal subgroups of factorised finite groups
• On \(\sigma \)-subnormal subgroups of finite groups
• Classes of monoids with applications: formations of languages and multiply local formations of finite groups
• On sublattices of the subgroup lattice defined by formation Fitting sets
• Finite groups whose \(n\)-maximal subgroups are \({\sigma}\)-subnormal
• On \({\Sigma}_t^{\sigma }\)-closed classes of finite groups
• On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.
• On some results in the theory of finite partially soluble groups
• A criterion for σ-locality of a non-empty formation
• On n-multiply σ-local formations of finite groups
• Some properties of n-multiply σ-local formations of finite groups
• Finite groups with \(\sigma\)-subnormal Schmidt subgroups
• On properties of the lattice of all τ -closed n -multiply σ -local formations

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