We characterize the Moufang hexagons in characteristic 2 by requiring that certain sets of points (defined by distances from other objects) are nonempty. Together with a known result For quadrangles, we obtain a common combinatorial characterization of the symplectic quadrangles over an arbitrary finite field and the classical hexagons over a field of characteristic 2 amongst all finite generalized polygons. (C) 1997 Academic Press.
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