On finite Moufang polygons |
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| Authors: | H. van Maldeghem Richard Weiss |
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| Affiliation: | (1) Seminar for Geometry and Combinatorics, State University of Ghent, Krijgslaan 281, 9000 Gent, Belgium;(2) Department of Mathematics, Tufts University, 02155 Medford, MA, U.S.A. |
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| Abstract: | We show that a finite generalized polygon Γ is Moufang with respect to a groupG if and only if for every flag {x, y} of Γ, the subgroupG 1(x, y) ofG fixing every element incident with one ofx, y acts transitively on the set of apartments containing the elementsu, x, y, w, whereu≠y (resp.w≠x) is an arbitrary element incident withx (resp.y). Research Associate at the National Fund of Scientific Research of Belgium. Research partially supported by NSF Grant DMS-8901904. |
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