Non-abelian representations of the slim dense near hexagons on 81 and 243 points

نویسنده

  • B. De Bruyn
چکیده

We prove that the near hexagon Q(5,2)× L3 has a non-abelian representation in the extra-special 2-group 21+12 + and that the near hexagon Q(5,2)⊗Q(5,2) has a non-abelian representation in the extra-special 2-group 21+18 − . The description of the non-abelian representation of Q(5,2)⊗Q(5,2) makes use of a new combinatorial construction of this near hexagon.

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تاریخ انتشار 2009