New constructions of two slim dense near hexagons

Binod Kumar Sahoo

doi:10.1016/j.disc.2007.04.038

paper

New constructions of two slim dense near hexagons

arXiv:math/0612468 · doi:10.1016/j.disc.2007.04.038

Abstract

We provide a geometrical construction of the slim dense near hexagon with parameters $(s, t, t_{2}) = (2, 5, {1, 2})$ . Using this construction, we construct the rank 3 symplectic dual polar space $D S p (6, 2)$ which is the slim dense near hexagon with parameters $(s, t, t_{2}) = (2, 6, 2)$ . Both the near hexagons are constructed from two copies of a generalized quadrangle with parameters (2,2).