Generalized Polygon
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In combinatorial theory, a generalized polygon is an incidence structure introduced by Jacques Tits. Generalized polygons encompass as special cases projective planes (generalized triangles, n = 3) and generalized quadrangles (n = 4), which form the most complex kinds of axiomatic projective and polar spaces. Many generalized polygons arise from groups of Lie type, but there are also exotic ones that cannot be obtained in this way. Generalized polygons satisfying a…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In combinatorial theory, a generalized polygon is an incidence structure introduced by Jacques Tits. Generalized polygons encompass as special cases projective planes (generalized triangles, n = 3) and generalized quadrangles (n = 4), which form the most complex kinds of axiomatic projective and polar spaces. Many generalized polygons arise from groups of Lie type, but there are also exotic ones that cannot be obtained in this way. Generalized polygons satisfying a technical condition known as the Moufang property have been completely classified by Tits and Weiss.