Abstract
In this paper, we prove that the Hermitian quadrangle \({\mathsf{H}}(4, q^2)\) is the unique generalized quadrangle Γ of order (q 2, q 3) containing some subquadrangle of order (q 2, q) isomorphic to \({\mathsf{H}}(3, q^2)\) such that every central elation of the subquadrangle is induced by a collineation of Γ.
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Dedicated to Dan Hughes on the occasion of his 80th birthday.
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De Kaey, J., Offer, A. & Van Maldeghem, H. On the nonexistence of certain Hughes generalized quadrangles. Des. Codes Cryptogr. 44, 87–96 (2007). https://doi.org/10.1007/s10623-007-9066-5
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DOI: https://doi.org/10.1007/s10623-007-9066-5