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A Combinatorial Characterization of Some Finite Classical Generalized Hexagons

✍ Scribed by E Govaert

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 280 KB
Volume: 80
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1997.2807

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✦ Synopsis

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.

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