Low dimensional models of the finite split Cayley hexagon

Mathematics – Combinatorics

Scientific paper

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Scientific paper

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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