The universal embedding dimension of the binary symplectic dual polar space
نویسندگان
چکیده
منابع مشابه
On the nucleus of the Grassmann embedding of the symplectic dual polar space I, I
Let n ≥ 3 and let F be a field of characteristic 2. Let DSp(2n, F) denote the dual polar space associated with the building of type Cn over F and let Gn−2 denote the (n − 2)-Grassmannian of type Cn. Using the bijective correspondence between the points of Gn−2 and the quads of DSp(2n, F), we construct a full projective embedding of Gn−2 into the nucleus of the Grassmann embedding of DSp(2n, F)....
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In [10], one of the authors proved that there are 6 isomorphism classes of hyperplanes in the dual polar space DW (5, q), q even, which arise from its Grassmann-embedding. In the present paper, we extend these results to the case that q is odd. Specifically, we determine the orbits of the full automorphism group of DW (5, q), q odd, on the projective points (or equivalently, the hyperplanes) of...
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توسیع تعدادی از نامساوی های چند جمله ای در مشتق قطبی
15 صفحه اولMetric dimension of dual polar graphs
A resolving set for a graph Γ is a collection of vertices S, chosen so that for each vertex v, the list of distances from v to the members of S uniquely specifies v. The metric dimension μ(Γ) is the smallest size of a resolving set for Γ. We consider the metric dimension of the dual polar graphs, and show that it is at most the rank over R of the incidence matrix of the corresponding polar spac...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2003
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(02)00545-9