On n-multiply σ-local formations of finite groups

DOI10.1080/00927872.2018.1498875zbMath1466.20012OpenAlexW2915869308MaRDI QIDQ5743043

V. G. Safonov, Alexander N. Skiba, Zhang Chi

Publication date: 8 May 2019

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2018.1498875

zbMATH Keywords

finite group\(\sigma\)-nilpotent groupformation \(\sigma\)-function\(n\)-multiply \(\sigma\)-local formation\( \Sigma^\sigma_{\mathbf{t}}\)-closed class of groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15)

Related Items (16)

Separated lattices of multiply \(\sigma \)-local formations ⋮ On the \(\sigma \)-nilpotent norm and the \(\sigma \)-nilpotent hypernorm of a finite group ⋮ 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 modularity and algebraicity of the lattice of multiply \(\omega \)-composition Fitting classes ⋮ On properties of the lattice of all τ -closed n -multiply σ -local formations ⋮ Algebraic lattices of solvably saturated formations and their applications ⋮ On Baer-σ-local formations of finite groups ⋮ Unnamed Item ⋮ Classes of monoids with applications: formations of languages and multiply local formations of finite groups ⋮ Unnamed Item ⋮ The lattice properties of 𝔛-local formations of finite groups ⋮ Algebraic lattices of partially saturated formations 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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• Minimal nicht überauflösbare, endliche Gruppen
• Finite soluble groups with all n-maximal subgroups 𝔉${\mathfrak {F}}$-subnormal
• Classes of Finite Groups

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