Embeddings and hyperplanes of discrete geometries
European Journal of Combinatorics
On the generation of dual polar spaces of unitary type over finite fields
European Journal of Combinatorics
On the generation of dual polar spaces of symplectic type over finite fields
Journal of Combinatorial Theory Series A
On the universal embedding of the Sp2n(2) dual polar space
Journal of Combinatorial Theory Series A
The structure of the spin-embeddings of dual polar spaces and related geometries
European Journal of Combinatorics
Note: A geometric description of the spin-embedding of symplectic dual polar spaces of rank 3
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
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We introduce the notion of scattered sets of points of a dual polar space, focusing on minimal ones. We prove that a dual polar space @D of rank n always admits minimal scattered sets of size 2^n. We also prove that the size of a minimal scattered set is a lower bound for dim(V) if the dual polar space @D has a polarized embedding e:@D-PG(V), namely a lax embedding satisfying the following: for every point p of @D, the set H"p of points at non-maximal distance from p is mapped by e into a hyperplane of PG(V). Finally, we consider the case n=2 and determine all the possible sizes of minimal scattered sets of finite classical generalized quadrangles.