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Modular elements of higher-weight Dowling lattices

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Publication:688252
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DOI10.1016/0012-365X(93)90113-8zbMath0808.06012OpenAlexW2062070396MaRDI QIDQ688252

Joseph E. Bonin

Publication date: 12 March 1995

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90113-8

zbMATH Keywords

characteristic polynomialsmodular elementshigher-weight Dowling latticerank \(n\) geometric latticesubspaces of a finite \(n\)-dimensional vector space


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Semimodular lattices, geometric lattices (06C10)


Related Items

Whitney Numbers of Combinatorial Geometries and Higher-Weight Dowling Lattices, A geometric condition for a hyperplane arrangement to be free, Rank-metric lattices



Cites Work

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  • A geometric characterization of Dowling lattices
  • Dowling group geometries and the critical problem
  • Elementary strong maps and transversal geometries
  • A classification of modularly complemented geometric lattices
  • Möbius inversion in lattices
  • Modular elements of geometric lattices
  • A class of geometric lattices based on finite groups
  • Supersolvable lattices
  • Some Remarks on the Critical Problem
  • Varieties of Combinatorial Geometries
  • Strong maps of geometries
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