A generalization of semimodular supersolvable lattice

DOI10.1016/0097-3165(95)90061-6zbMath0831.06003OpenAlexW2123229309MaRDI QIDQ1903005

Bruce E. Sagan, Curtis D. Bennett

Publication date: 20 February 1996

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(95)90061-6

zbMATH Keywords

characteristic polynomialssemimodular latticefactorizationhyperplane arrangementssupersolvable latticeatom decision tree

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Semimodular lattices, geometric lattices (06C10)

Related Items (5)

Non-broken circuits of reflection groups and factorization in \(D_ n\) ⋮ On valuations, the characteristic polynomial, and complex subspace arrangements ⋮ Basic derivations for subarrangements of Coxeter arrangements ⋮ Why the characteristic polynomial factors ⋮ Supersolvable frame-matroid and graphic-lift lattices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Basic derivations for subarrangements of Coxeter arrangements
• Free arrangements of hyperplanes and supersolvable lattices
• Signed graphs
• Free arrangements of hyperplanes and unitary reflection groups
• Broken circuit complexes: Factorizations and generalizations
• Tractable partially ordered sets derived from root systems and biased graphs
• Supersolvable frame-matroid and graphic-lift lattices
• A generalization of Rota's NBC theorem
• Non-broken circuits of reflection groups and factorization in \(D_ n\)
• Supersolvable lattices
• Matroid Representations and free Arrangements
• Partitions into Even and Odd Block Size and Some Unusual Characters of the Symmetric Groups
• The Geometry of Root Systems and Signed Graphs
• The Generalized Dowling Lattices
• Algebraic groups and modular Lie algebras
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]

This page was built for publication: A generalization of semimodular supersolvable lattice