Ree geometries

Details Ree geometries Ree geometries

2009-09-17

arxiv.org/abs/0909.3211v1

Mathematics

Group Theory

Scientific paper

We introduce a rank 3 geometry for any Ree group over a not necessarily perfect field and show that its full collineation group is the automorphism group of the corresponding Ree group. A similar result holds for two rank 2 geometries obtained as a truncation of this rank 3 geometry. As an application, we show that a polarity in any Moufang generalized hexagon is unambiguously determined by its set of absolute points, or equivalently, its set of absolute lines.

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