Ovoids and spreads of the generalized hexagon H(3)

نویسندگان

  • A. De Wispelaere
  • J. Huizinga
  • Hendrik Van Maldeghem
چکیده

In this paper, we construct and classify all ovoids and spreads of the known generalized hexagon of order 3 (the split Cayley hexagonH(3)). We exhibit some unexpected and nice geometric properties. As an application, we provide an elementary and geometric construction of a G2(3)-GAB of type G̃2. We also exhibit new ovoid-spread pairings. © 2005 Elsevier B.V. All rights reserved.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 305  شماره 

صفحات  -

تاریخ انتشار 2005