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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 ''Ruth Moufang, Moufang property'' have been completely classified by Tits and Weiss. Every generalized ''n''-gon with ''n'' even is also a near polygon. Definition A generalized ''2''-gon (or a digon) is an incidence structure with at least 2 points and 2 lines where each point is incident to each line. For ''n \geq 3'' a generalized ''n''-gon is an incidence structure (P,L,I), where P is the set of points, L is the set of lines and I\subseteq P\times L is the incidence relation, such that: * It is a partial linear space. * It has no ordinary ''m''- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Split Cayley Hexagon
Split(s) or The Split may refer to: Places * Split, Croatia, the largest coastal city in Croatia * Split Island, Canada, an island in the Hudson Bay * Split Island, Falkland Islands * Split Island, Fiji, better known as Hạfliua Arts, entertainment, and media Films * ''Split'' (1989 film), a science fiction film * ''Split'' (2016 American film), a psychological horror thriller film * ''Split'' (2016 Canadian film), also known as ''Écartée'', a Canadian drama film directed by Lawrence Côté-Collins * ''Split'' (2016 South Korean film), a sports drama film * '' Split: A Divided America'', a 2008 documentary on American politics * ''The Split'' (film), a 1968 heist film * ''The Split'', or ''The Manster'', a U.S.-Japanese horror film Games * Split (poker), the division of winnings in the card game * Split (blackjack), a possible player decision in the card game Music Albums * ''Split'' (The Groundhogs album), 1971 * ''Split'' (Lush album), 1994 * ''Split'' (Patricia B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |