Determination of generalized quadrangles with distinct elation points

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作者
Koen Thas
机构
[1] Ghent University,Department of Pure Mathematics and Computer Algebra
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关键词
Generalized quadrangle; Elation generalized quadrangle; Translation generalized quadrangle; Moufang condition; Symmetry; Regularity; Classification;
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摘要
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.
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页码:5 / 22
页数:17
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