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University of Regina Department of Mathematics and Statistics

University of Regina
Department of Mathematics and Statistics
Speaker: Stefaan De Winter
University of Ghent
Title: A Class of Generalized Quadrangles and Their Automorphism
Date: Wednesday, October 25, 2006
Time: 3:30 p.m.
Place: Math & Stats Lounge (CW 307.20)
We often turn to geometric structures for obtaining a better understand-
ing of group theoretical problems. In the 1950's, Jacques Tits introduced the
notion of generalized polygons as part of a program to provide an easily un-
derstood structure for groups to act on groups act on his geometries in much
the same way as Lie groups act on polyhedra and other classical geomet-
ric structures. Generalized triangles are just projective planes; generalized
quadrangles, the topic of my talk today, are incident structures consisting
of points and lines satisfying the property that the shortest cycles consist of
four points and four lines (where a cycle starts with a point followed by a line


Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina


Collections: Mathematics