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# An Infinite Class of Partial Geometries Associated with the Hyperbolic Quadric in PG(4n - 1, 2)

@article{Clerck1980AnIC, title={An Infinite Class of Partial Geometries Associated with the Hyperbolic Quadric in PG(4n - 1, 2)}, author={Frank De Clerck and R. H. Dye and Joseph A. Thas}, journal={Eur. J. Comb.}, year={1980}, volume={1}, pages={323-326} }

- Published 1980 in Eur. J. Comb.
DOI:10.1016/S0195-6698(80)80032-1

A (finite) partial geometry S = (P, B, I) is an incidence structure with a symmetric incidence relation satisfying the following axioms. (i) Each point is incident with t + 1lines (t;;?; 1) and two distinct points are incident with at most one line. (ii) Each line is incident with s + 1 points (s;;?; 1) and two distinct lines are incident with at most one point. (iii) If xis a point and La line, such that xIL, then there are exactly a(a;;?; 1) points Xt. x 2 , ••• ,Xa and a lines Lt.L2… CONTINUE READING

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