Three homogeneous embeddings of \(\mathit{DW}(2n-1,2)\)

DOI10.1007/s10623-018-0531-0zbMath1410.51002OpenAlexW2949299838MaRDI QIDQ670212

Bart De Bruyn

Publication date: 18 March 2019

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

Full work available at URL: https://doi.org/10.1007/s10623-018-0531-0

zbMATH Keywords

symplectic dual polar spaceGF(2)homogeneous projective embeddinguniversal projective embedding

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Representations of finite groups of Lie type (20C33) Incidence structures embeddable into projective geometries (51A45) Polar geometry, symplectic spaces, orthogonal spaces (51A50)

Cites Work

• Embeddings and hyperplanes of discrete geometries
• Minimal full polarized embeddings of dual polar spaces
• Some subspaces of the \(k\)th exterior power of a symplectic vector space
• Polarized and homogeneous embeddings of dual polar spaces
• Embeddings of flag-transitive classical locally polar geometries of rank 3
• Buildings of spherical type and finite BN-pairs
• On the generation of dual polar spaces of symplectic type over finite fields
• On the generation of some dual polar spaces of symplectic type over \(GF(2)\)
• Linear representations of cotriangular spaces
• The universal embedding dimension of the binary symplectic dual polar space
• The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order \((3,t)\)
• On the universal embedding of dual polar spaces of type \(Sp_{2n}(2)\)
• On extensions of hyperplanes of dual polar spaces
• Some Constructions and Embeddings of the Tilde Geometry
• On the universal embedding of the \(Sp_{2n}(2)\) dual polar space
• Uniform hyperplanes of finite dual polar spaces of rank 3
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