On the modularity of a lattice of τ-closed n-multiply ω-composite formations

DOI10.1007/S11253-010-0368-9zbMath1209.20014OpenAlexW2036538453MaRDI QIDQ3076521

A. A. Tsarev, Nikolay N. Vorob'ev

Publication date: 22 February 2011

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-010-0368-9

zbMATH Keywords

finite groupsmodular latticeslattices of formationssubgroup functorspartially composite formationstotally saturated 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 (19)

Separated lattices of multiply \(\sigma \)-local formations ⋮ On a Question of the Theory of Partially Composition Formations ⋮ 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 ⋮ Characterizations of some classes of finite σ -soluble PσT -groups ⋮ Algebraic lattices of solvably saturated formations and their applications ⋮ Unnamed Item ⋮ Algebraicity of lattice of $\tau$-closed totally $\omega$-saturated formations of finite groups ⋮ Inductive lattices of totally composition formations ⋮ Laws of the lattices of partially composition formations. ⋮ Lattices of composition formations of finite groups and the laws ⋮ On complete sublattices of formations of finite groups ⋮ Laws of the lattices of foliated formations of \(T\)-groups ⋮ Formations of finite monoids and their applications: formations of languages and \(\tau \)-closed saturated formations of finite groups ⋮ On the lattice of all totally composition formations of finite groups ⋮ On the maximal subformations of partially composition formations of finite groups ⋮ The lattice properties of 𝔛-local formations of finite groups ⋮ On the modularity property of the lattice of partially composition Fitting classes ⋮ Algebraic lattices of partially saturated formations of finite groups

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