New constructions of two slim dense near hexagons

Details New constructions of two slim dense near hexagons New constructions of two slim dense near hexagons

2006-12-16

arxiv.org/abs/math/0612468v1

Discrete Math. 308 (2008), 2018--2024

Mathematics

Combinatorics

Scientific paper

10.1016/j.disc.2007.04.038

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 $DSp(6,2)$ 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).

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