Incidence geometry | Group theory

Generalized polygon

In mathematics, a generalized polygon is an incidence structure introduced by Jacques Tits in 1959. Generalized n-gons encompass as special cases projective planes (generalized triangles, n = 3) and generalized quadrangles (n = 4). 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. Every generalized n-gon with n even is also a near polygon. (Wikipedia).

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Related pages

Near polygon | Generalized quadrangle | Partial linear space | Cage (graph theory) | Converse relation | Group of Lie type | Moore graph | Girth (graph theory) | Incidence structure | Moufang polygon | Complete bipartite graph | Bipartite graph | Building (mathematics) | Mathematics | Polygon | Expander graph | List of finite simple groups | Diameter (graph theory) | Ramsey theory | Square number | Projective plane | Ree group | (B, N) pair