On the lattice of all totally composition formations of finite groups

DOI10.1007/S11587-019-00433-3zbMath1453.20029OpenAlexW2913826678MaRDI QIDQ2281543

Aleksandr Tsarev

Publication date: 3 January 2020

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-019-00433-3

zbMATH Keywords

finite groupformation of groupsalgebraic lattice of formationssatellite of formationtotally composition 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) Formations of groups, Fitting classes (20F17)

Related Items (7)

On the modularity and algebraicity of the lattice of multiply \(\omega \)-composition Fitting classes ⋮ Algebraic lattices of solvably saturated formations and their applications ⋮ Unnamed Item ⋮ Algebraicity of lattice of $\tau$-closed totally $\omega$-saturated formations of finite groups ⋮ Separability of the lattice of \(\tau \)-closed totally \(\omega \)-composition 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

Cites Work

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• Zur Theorie der endlichen auflösbaren Gruppen
• Finite soluble groups
• Multiply $$\mathfrak{L}$$ formations of finite groupsformations of finite groups
• Structure Theory for Canonical Classes of Finite Groups
• On the modularity of a lattice of τ-closed n-multiply ω-composite formations
• On a Question of the Theory of Partially Composition Formations
• Inductive lattices of totally composition formations
• The property of being algebraic for the lattice of all τ-closed totally saturated formations

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