Ree几何
Ree geometries
摘要：
对不完满域上的任意Ree群引入秩为3的几何，并证明其全直射变换群是相应Ree群的自同构群.类似的结果适用于两个秩2几何形状，作为该秩3几何形状的截断而获得。作为一个应用，我们表明，极性在任何Moufang广义六边形是明确确定的绝对点集，或等价地，它的一组绝对线。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
