The $\mathrm{L}_3(4)$ near octagon
Combinatorics
2016-10-19 v1
Abstract
In recent work we constructed two new near octagons, one related to the finite simple group and another one as a sub-near-octagon of the former. In the present paper, we give a direct construction of this sub-near-octagon using a split extension of the group . We derive several geometric properties of this near octagon, and determine its full automorphism group. We also prove that the near octagon is closely related to the second subconstituent of the distance-regular graph on 486 vertices discovered by Soicher in 1993.
Cite
@article{arxiv.1610.05607,
title = {The $\mathrm{L}_3(4)$ near octagon},
author = {Anurag Bishnoi and Bart De Bruyn},
journal= {arXiv preprint arXiv:1610.05607},
year = {2016}
}
Comments
23 pages