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On the Structure of Translation Generalized Quadrangles
1983Abstract A technical restriction is given on the structure of a translation generalized quadrangle of order (s,t). Two corollaries are: if t is even then 2 s = t or t = s 2 ; the translation group is the full set of elations.
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On Symmetries and Translation Generalized Quadrangles
2001Let S be a generalized quadrangle (GQ) of order (s,t), s,t≠1, and suppose p is a point of S. A whorl about p is a collineation of S which fixes p linewise, and a line L is an axis of symmetry if there is a full group of collineations of S of size s of which each element is a whorl about every point on L. Suppose S is a generalized quadrangle of order (
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A question of Kantor on elations of dual translation generalized quadrangles
advg, 2007Abstract We solve a question of William M. Kantor by proving that dual good translation generalized quadrangles in odd characteristic always are elation generalized quadrangles.
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Translation Generalized Quadrangles
2006J. A. Thas, K. Thas, H. Van Maldeghem
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Pseudo-embeddings and hyperovals of the generalized quadrangle of order (3,5)
Discrete Mathematics, 2023Mou Gao +2 more
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Elation Generalized Quadrangles, Translation Generalized Quadrangles and Flocks
2006openaire +1 more source
The triangular extensions of a generalized quadrangle of order {$(3,3)$}
Bulletin of the Belgian Mathematical Society - Simon Stevin, 1995Dmitrii Pasechnik
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Finite translation generalized quadrangles: old results, new results, open problems
2006J. A. Thas, K. Thas
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Compact connected translation generalized quadrangles
Resultate Der Mathematik, 2013Michael Joswig
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