Span-Symmetric Generalized Quadrangles

Stanley E. Payne
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Stanley E. Payne: Miami University

A chapter in The Geometric Vein, 1981, pp 231-242 from Springer

Abstract: Abstract A generalized quadrangle (GQ) of order (s,t) is a point-line incidence geometry S = (P,L,I) with pointset P, lineset L and incidence relation I satisfying the following: (1) Two points are incident with at most one line in common. (2) If x ∈ P, L ∈ L, and x I L (i.e. x is not incident with L),there is a unique pair (y,M)∈ P × L for which x I M I y I L. (3) Each point (respectively, line) is incident with 1 + t lines (respectively, 1 + s points).

Date: 1981
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DOI: 10.1007/978-1-4612-5648-9_15

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