We construct and study a new near octagon of order $(2,10)$ which has its full automorphism group isomorphic to the group $G_2(4):2$ and which contains $416$ copies of the Hall-Janko near octagon as full subgeometries. Using this near octagon and its substructures we give geometric constructions of the $G_2(4)$-graph and the Suzuki graph, both of which are strongly regular graphs contained in the Suzuki tower. As a subgeometry of this octagon we have discovered another new near octagon, whose order is $(2,4)$.
@article{10_37236_5067,
author = {Anurag Bishnoi and Bart De Bruyn},
title = {A new near octagon and the {Suzuki} tower},
journal = {The electronic journal of combinatorics},
year = {2016},
volume = {23},
number = {2},
doi = {10.37236/5067},
zbl = {1338.05275},
url = {http://geodesic.mathdoc.fr/articles/10.37236/5067/}
}
TY - JOUR
AU - Anurag Bishnoi
AU - Bart De Bruyn
TI - A new near octagon and the Suzuki tower
JO - The electronic journal of combinatorics
PY - 2016
VL - 23
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.37236/5067/
DO - 10.37236/5067
ID - 10_37236_5067
ER -
%0 Journal Article
%A Anurag Bishnoi
%A Bart De Bruyn
%T A new near octagon and the Suzuki tower
%J The electronic journal of combinatorics
%D 2016
%V 23
%N 2
%U http://geodesic.mathdoc.fr/articles/10.37236/5067/
%R 10.37236/5067
%F 10_37236_5067
Anurag Bishnoi; Bart De Bruyn. A new near octagon and the Suzuki tower. The electronic journal of combinatorics, Tome 23 (2016) no. 2. doi: 10.37236/5067
