On Modularity of the Lattice of Totally Saturated Formations of Finite Groups

DOI10.1080/00927870701509354zbMath1134.20014OpenAlexW2046457058MaRDI QIDQ5432599

V. G. Safonov

Publication date: 17 December 2007

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

Full work available at URL: https://doi.org/10.1080/00927870701509354

zbMATH Keywords

finite groupslattices of formationssaturated formations

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Representation theory of lattices (06B15) Formations of groups, Fitting classes (20F17)

Related Items (12)

Separated lattices of multiply \(\sigma \)-local formations ⋮ On Lattices of Formations of Finite Groups ⋮ On a Question of the Theory of Partially Composition Formations ⋮ ON LAWS OF LATTICES OF PARTIALLY SATURATED FORMATIONS ⋮ On questions posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in finite group theory ⋮ On the modularity and algebraicity of the lattice of multiply \(\omega \)-composition Fitting classes ⋮ Unnamed Item ⋮ Inductive lattices of totally composition formations ⋮ Lattices of composition formations of finite groups and the laws ⋮ \(\mathfrak G\)-separability of the lattice of \(\tau\)-closed totally saturated formations. ⋮ The lattice properties of 𝔛-local formations of finite groups ⋮ On the modularity property of the lattice of partially composition Fitting classes

Cites Work

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