The uniqueness of 1-systems of W
5(q) satisfying the BLT-property, with q odd |
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| Authors: | J A Thas |
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| Institution: | 1. Department of Pure Mathematics and Computer Algebra, Ghent University, Krijgslaan 281, S22, B-9000, Gent, Belgium
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| Abstract: | In the symplectic polar space W 5(q) every 1-system which satisfies the BLT-property (and then q is odd) defines a generalized quadrangle (GQ) of order (q 2,q 3). In this paper, we show that this 1-system is unique, so that the only GQ arising in this way is isomorphic to the classical GQ H(4,q 2), q odd. |
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