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Determination of generalized quadrangles with distinct elation points
Authors:Koen Thas
Affiliation:(1) Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, B-9000 Ghent, Belgium
Abstract:In this paper, we classify the finite generalized quadrangles of order (s,t), s,t > 1, which have a line L of elation points, with the additional property that there is a line M not meeting L for which {L, M} is regular. This is a first fundamental step towards the classification of those generalized quadrangles having a line of elation points. Mathematics Subject Classification (2000): 51E12, 51E20, 20B25, 20E42
Keywords:Generalized quadrangle  Elation generalized quadrangle  Translation generalized quadrangle  Moufang condition  Symmetry  Regularity  Classification
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