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

B. De Bruyn, B. K. Sahoo, N. S. N. Sastry

We prove that the near hexagon $Q(5,2)\times {\mathbb{L}}_3$ has a non-abelian representation in the extra-special 2-group $2_{+}^{1+12}$ and that the near hexagon $Q(5,2) \otimes Q(5…