On the geometry of the exceptional group G 2( q ), q even

نویسندگان

  • Antonio Cossidente
  • Oliver H. King
چکیده

We study some geometry of the exceptional group G2(q), q even, in terms of symplectic geometric configurations in the projective space PG(5, q). Using the spin representation of Sp6(q), we obtain an alternative description of the Split Cayley hexagon H(q) related to G2(q). We also give another geometric proof of the maximality of G2(q), q even, in PSp6(q).

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عنوان ژورنال:
  • Des. Codes Cryptography

دوره 47  شماره 

صفحات  -

تاریخ انتشار 2008