Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 43, No. 2, pp. 303-324 (2002)
Distance-preserving Maps in Generalized Polygons, Part II: Maps on Points and/or Lines
Eline Govaert, Hendrik Van Maldeghem
University of Ghent, Pure Mathematics and Computer Algebra, Galglaan 2, 9000 Gent, Belgium, e-mail: egovaert@cage.rug.ac.be, hvm@cage.rug.ac.be
Abstract: In this paper, we characterize isomorphisms of generalized polygons (in particular automorphisms) by maps on points and/or lines which preserve a certain fixed distance. In Part I, we considered maps on flags. Exceptions give rise to interesting properties, which on their turn have some nice applications.
Keywords: generalized polygons, distance-preserving maps
Classification (MSC2000): 51E12
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