Abstract
We study some geometry of the exceptional group G 2(q), q even, in terms of symplectic geometric configurations in the projective space PG(5,q). Using the spin representation of Sp 6(q), we obtain an alternative description of the Split Cayley hexagon H(q) related to G 2(q). We also give another geometric proof of the maximality of G 2(q), q even, in PSp 6(q).
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Cossidente, A., King, O.H. On the geometry of the exceptional group G 2(q), q even. Des. Codes Cryptogr. 47, 145–157 (2008). https://doi.org/10.1007/s10623-007-9107-0
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DOI: https://doi.org/10.1007/s10623-007-9107-0