In this paper we show that, for each prime power q, given an embedding of the finite dual split Cayley hexagon H(q)D in the d-dimensional projective space PG(d, q), d satisfies d ≤ 13. Moreover, if d = 13, then the embedding is unique and we give an explicit description.
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Thas, J.A., Van Maldeghem, H. Full Embeddings Of The Finite Dual Split Cayley Hexagons. Combinatorica 24, 681–698 (2004). https://doi.org/10.1007/s00493-004-0041-8
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DOI: https://doi.org/10.1007/s00493-004-0041-8