On the distributivity of the lattice of solvable totally local Fitting classes

DOI10.1007/BF02676326zbMath0985.20010WikidataQ126211253 ScholiaQ126211253MaRDI QIDQ5942071

Alexander N. Skiba, Nikolay N. Vorob'ev

Publication date: 21 November 2001

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

zbMATH Keywords

finite \(p\)-groups\(\pi\)-groupsHartley functionslattices of soluble totally local Fitting classeslocal Fitting classes

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) Chains and lattices of subgroups, subnormal subgroups (20E15) Formations of groups, Fitting classes (20F17)

Related Items

Separated lattices of multiply \(\sigma \)-local formations ⋮ On the distributivity and modularity signs of a family of fitting sets of a finite group ⋮ On the modularity and algebraicity of the lattice of multiply \(\omega \)-composition Fitting classes ⋮ Algebraic lattices of solvably saturated formations and their applications ⋮ Inductive lattices of totally composition formations ⋮ Lattices of composition formations of finite groups and the laws ⋮ Unnamed Item ⋮ On the distributivity and modularity properties of the lattice of Fitting classes ⋮ On the modularity property of the lattice of partially composition Fitting classes ⋮ Algebraic lattices of partially saturated formations of finite groups

Cites Work

• Local formations of finite groups
• Finite soluble groups
• Description of finite solvable minimal non-\({\mathcal F}\)-groups for an arbitrary totally local formation \({\mathcal F}\)
• The Fitting class \({\mathfrak F}^*\)
• On two problems from the Kourovka notebook
• Soluble totally local formations
• Skeletal classes of soluble groups
• Multiply \(\omega\)-local formations and Fitting classes of finite groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item