Low dimensional models of the finite split Cayley hexagon

preprint2012arXivOpen access

We provide a model of the split Cayley hexagon arising from the Hermitian surface $\mathsf{H}(3,q^2)$ , thereby yielding a geometric construction of the Dickson group $G_2(q)$ starting with the unitary group $\mathsf{SU}_3(q)$ .

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Low dimensional models of the finite split Cayley hexagon

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