A decomposition of the universal embedding space for the near polygon \({{\mathbb H}_n}\)

DOI10.1007/s10623-011-9533-xzbMath1244.51002OpenAlexW1977893441MaRDI QIDQ420635

Bart De Bruyn

Publication date: 22 May 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-011-9533-x

zbMATH Keywords

projective embeddinguniversal embeddingnear polygongenerating set

Mathematics Subject Classification ID

Generalized quadrangles and generalized polygons in finite geometry (51E12) Incidence structures embeddable into projective geometries (51A45) Exterior algebra, Grassmann algebras (15A75) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

• Unnamed Item
• Embeddings and hyperplanes of discrete geometries
• The structure of the spin-embeddings of dual polar spaces and related geometries
• Finite generalized quadrangles
• A decomposition of the natural embedding spaces for the symplectic dual polar spaces
• Some subspaces of the \(k\)th exterior power of a symplectic vector space
• The structure of near polygons with quads
• Near \(n\)-gons and line systems
• Near polygons and Fischer spaces
• The universal embedding dimension of the near polygon on the \(1\)-factors of a complete graph
• On the Grassmann-embeddings of the hermitian dual polar spaces

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