Embeddings and hyperplanes of discrete geometries
European Journal of Combinatorics
Near polygons with a nice chain of sub-near polygons
Journal of Combinatorial Theory Series A
Minimal full polarized embeddings of dual polar spaces
Journal of Algebraic Combinatorics: An International Journal
The hyperplanes of DQ(2n,K) and DQ-(2n+1,q) which arise from their spin-embeddings
Journal of Combinatorial Theory Series A
Minimal scattered sets and polarized embeddings of dual polar spaces
European Journal of Combinatorics
Note: Two classes of hyperplanes of dual polar spaces without subquadrangular quads
Journal of Combinatorial Theory Series A
On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp(2n,F), char(F)=2
European Journal of Combinatorics
Polarized and homogeneous embeddings of dual polar spaces
Journal of Algebraic Combinatorics: An International Journal
A decomposition of the universal embedding space for the near polygon $${{\mathbb H}_n}$$
Designs, Codes and Cryptography
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In [B. De Bruyn, A. Pasini, Minimal scattered sets and polarized embeddings of dual polar spaces, European J. Combin. 28 (2007) 1890-1909], it was shown that every full polarized embedding of a dual polar space of rank n=2 has vector dimension at least 2^n. In the present paper, we will give alternative proofs of that result which hold for more general classes of dense near polygons. These alternative proofs allow us to characterize full polarized embeddings of minimal vector dimension 2^n. Using this characterization result, we can prove a decomposition theorem for the embedding space. We will use this decomposition theorem to get information on the structure of the spin-embedding of the dual polar space DQ(2n,K).