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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