Low dimensional models of the finite split Cayley hexagon
classification
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keywords
cayleygrouphexagonmathsfsplitarisingconstructiondickson
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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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