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On the Finiteness of Near Polygons with 3 Points on Every Line
Authors:Bart De Bruyn
Affiliation:(1) Department of Pure Math and Computer Algebra, University of Ghent, Galglaan 2, B-9000 Gent, Belgium
Abstract:
Let S be a near polygon of order (s, t) with quads through every two points at distance 2. The near polygon S is called semifinite if exactly one of s and t is finite. We show that S cannot be semifinite if s = 2 and derive upper bounds for t.
Keywords:near polygon  generalized quadrangle
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