Dowling group geometries and the critical problem

DOI10.1016/0095-8956(89)90067-1zbMath0628.05018OpenAlexW2015959301MaRDI QIDQ1092912

Geoffrey P. Whittle

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0095-8956(89)90067-1

zbMATH Keywords

matroidcritical problemDowling group geometries

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (10)

\(H\)-lifts of tangential \(k\)-blocks ⋮ A Generalisation of the Matroid Lift Construction ⋮ Automorphisms of Dowling Lattices and Related Geometries ⋮ A geometric theory of hypergraph colouring ⋮ Critical problem for codes over finite chain rings ⋮ Modular elements of higher-weight Dowling lattices ⋮ Minimal blocks of binary even-weight vectors ⋮ Reconstructing ternary Dowling geometries ⋮ A geometric condition for a hyperplane arrangement to be free ⋮ A characterization of jointless Dowling geometries

Cites Work

• On the critical exponent of transversal matroids
• Biased graphs. I: Bias, balance, and gains
• Modularity in tangential k-blocks
• Signed graphs
• Tangential 1-blocks over GF(3)
• Biased graphs. II: The three matroids
• Modular elements of geometric lattices
• A class of geometric lattices based on finite groups
• Supersolvable lattices
• Quotients of Tangential k-Blocks
• Varieties of Combinatorial Geometries
• Modular Constructions for Combinatorial Geometries
• An Affine Representation for Transversal Geometries
• On the algebraic theory of graph colorings
• A Decomposition for Combinatorial Geometries
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