A criterion for σ-locality of a non-empty formation

DOI10.1080/00927872.2021.2006210zbMath1505.20013OpenAlexW4207040937MaRDI QIDQ5072706

Inna N. Safonova

Publication date: 4 May 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.2006210

zbMATH Keywords

class of finite groups\(\sigma\)-local formationformation \(\sigma\)-function\(n\)-multiply \(\sigma\)-local formationgenerated formation

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) Series and lattices of subgroups (20D30)

Related Items (3)

On σ-inductive lattices of n-multiply σ-local formations of finite groups ⋮ On properties of the lattice of all τ -closed n -multiply σ -local formations ⋮ On critical \(\sigma \)-local formations of finite groups

Cites Work

• A generalization of Kramer's theory
• Finite soluble groups
• Laws of the lattices of \(\sigma \)-local formations 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
• 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
• Classes of Finite Groups
• On n-multiply σ-local formations of finite groups
• Some properties of n-multiply σ-local formations of finite groups
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