Extensions of $\mathit{GQ}(4,2)$, the completely regular case
Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 91-109
Voir la notice de l'article provenant de la source Math-Net.Ru
The description of extensions of generalised quadrangles $\mathit{GQ}(s,t)$ with flag-transitive group of automorphisms is known. For $s=3$, in a series of researches a description of extensions was given, with no assumptions on the action of the group of automorphisms. While investigating extensions of $\mathit{GQ}(4,2)$, the former author has given the structure of hyperovals of $\mathit{GQ}(4,2)$ and proved that there exist no totally regular locally $\mathit{GQ}(4,2)$ graphs with $\mu=10$. In the present paper, we conclude the classification of totally regular locally $\mathit{GQ}(4,2)$-graphs.
This research was supported by the Russian Foundation for Basic Research,
grant 99–01–00462.
@article{DM_2001_13_3_a6,
author = {A. A. Makhnev and D. V. Paduchikh},
title = {Extensions of $\mathit{GQ}(4,2)$, the completely regular case},
journal = {Diskretnaya Matematika},
pages = {91--109},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DM_2001_13_3_a6/}
}
A. A. Makhnev; D. V. Paduchikh. Extensions of $\mathit{GQ}(4,2)$, the completely regular case. Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 91-109. http://geodesic.mathdoc.fr/item/DM_2001_13_3_a6/