Automorphisms of Dowling Lattices and Related Geometries

DOI10.1017/S0963548300001437zbMath0835.06009OpenAlexW2161652184MaRDI QIDQ4844485

Joseph E. Bonin

Publication date: 22 April 1996

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0963548300001437

zbMATH Keywords

automorphism groupsrestrictionsprojective geometriescombinatorial geometriesDowling latticesgeometric lattices

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Semimodular lattices, geometric lattices (06C10) Other finite linear geometries (51E26)

Related Items (5)

\(H\)-lifts of tangential \(k\)-blocks ⋮ Every group is the automorphism group of a rank-3 matroid ⋮ On the birational geometry of matroids ⋮ The acyclic edge chromatic number of a random d‐regular graph is d + 1 ⋮ A characterization of jointless Dowling geometries

Cites Work

• Biased graphs. I: Bias, balance, and gains
• A geometric characterization of Dowling lattices
• Automorphism groups of higher-weight Dowling geometries
• Combinatorial geometries representable over GF(3) and GF(q). I: The number of points
• Combinatorial geometries representable over GF(3) and GF(q). II: Dowling geometries
• Line-closed combinatorial geometries
• Dowling group geometries and the critical problem
• Biased graphs. II: The three matroids
• Broken circuit complexes: Factorizations and generalizations
• The geometry of Dowling lattices
• Every group is the automorphism group of a rank-3 matroid
• A classification of modularly complemented geometric lattices
• A class of geometric lattices based on finite groups
• The Geometry of Root Systems and Signed Graphs
• Varieties of Combinatorial Geometries

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