Linearly small elation quadrangles |
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Authors: | Norbert Knarr Antje Rothmund Markus Stroppel |
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Institution: | 1. Institut für Geometrie und Topologie, Universit?t Stuttgart, 70550, Stuttgart, Germany
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Abstract: | We show that each elation generalized quadrangle with parameters (p, p), where p is a prime, is isomorphic to the symplectic quadrangle W(p) or its dual Q(4, p). Our results cover the more general case of linearly small elation generalized quadrangles. In particular, we obtain a characterization of the symplectic quadrangle over the field of complex numbers among compact connected quadrangles. We prove that every root elation quadrangle (Q, c, H F ) is a skew translation quadrangle. |
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