On the Generation of Dual Polar Spaces of Symplectic Type over Finite Fields

@article{Cooperstein1998OnTG,
  title={On the Generation of Dual Polar Spaces of Symplectic Type over Finite Fields},
  author={Bruce N. Cooperstein},
  journal={J. Comb. Theory, Ser. A},
  year={1998},
  volume={83},
  pages={221-232}
}
We assume the reader is familiar with the basic definitions relating to undirected graphs and linear incidence system or point-line geometry (as a standard reference see [2]). In particular: the distance function, a geodesic path, and diameter of a graph; the collinearity graph of a point-line geometry 1=(P, L), a subspace of 1, the subspace (X)1 generated by a subset X of P, and convex subspace of 1. We define the generating rank, gr(1), of a point-line geometry 1 to be min[ |X |: X/P, (X)1=P… CONTINUE READING
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