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Extended generalized octagons and the groupHe
Authors:Dmitrii V Pasechnik
Institution:(1) Department of Mathematics, University of Western Australia, 6009 Nedlands, WA, Australia
Abstract:Let Gamma be an extended generalized octagon such that the points of a triple {u, v, w} not on a block are pairwise adjacent if and only if the distance betweenv andw in the local generalized octagon Gamma u equals 3 and there is a thick line through any point of Gamma u . Then Gamma is one of the two examples related to the groups 2·L 3(4).22 andHe. It is also shown that Gamma does not admit further extensions.
Keywords:51E24  20D08  51E12
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