%0 Journal Article
%T Ree geometries
%A Fabienne Haot
%A Koen Struyve
%A Hendrik Van Maldeghem
%J Mathematics
%D 2009
%I arXiv
%X 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.
%U http://arxiv.org/abs/0909.3211v1