Combinatorial geometries representable over GF(3) and GF(q). II: Dowling geometries

DOI10.1007/BF01864171zbMath0702.51004OpenAlexW2064482790MaRDI QIDQ915122

James G. Oxley, Joseph P. S. Kung

Publication date: 1988

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01864171

zbMATH Keywords

combinatorial geometriesternary geometryrank n Dowling geometryrank n geometry

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Combinatorial aspects of matroids and geometric lattices (05B35) Combinatorial geometries and geometric closure systems (51D20) Other finite incidence structures (geometric aspects) (51E30)

Related Items (6)

Automorphisms of Dowling Lattices and Related Geometries ⋮ Combinatorial geometries representable over GF(3) and GF(q). I: The number of points ⋮ On Matroids Representable over 𝐺𝐹(3) and Other Fields ⋮ Reconstructing ternary Dowling geometries ⋮ On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids ⋮ The highly connected matroids in minor-closed classes

Cites Work

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• On linear systems with integral valued solutions
• Combinatorial geometries representable over GF(3) and GF(q). I: The number of points
• Decomposition of regular matroids
• Matroid representation over GF(3)
• Signed graphs
• Dimension and embedding theorems for geometric lattices
• A class of geometric lattices based on finite groups
• Theory of Matroids

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