On automorphisms of strongly regular graphs with $\lambda=0$, $\mu=2$
Sbornik. Mathematics, Tome 195 (2004) no. 3, pp. 347-367
Voir la notice de l'article provenant de la source Math-Net.Ru
The structure of fixed-point subgraphs of automorphisms of
order 3 of strongly regular graphs with parameters
$(v,k,0, 2)$ is determined. Let $G$ be the automorphism
group of a hypothetical strongly regular graph with parameters $(352, 26, 0, 2)$.
Possible orders are found and the structure of fixed-point
subgraphs is determined for elements of prime order in $G$.
The four-subgroups of $G$ are classified and the possible structure
of the group $G$ is determined. A strengthening of a result of Nakagawa on the automorphism groups of strongly regular graphs with
$\lambda=0$, $\mu=2$ is obtained.
@article{SM_2004_195_3_a2,
author = {A. A. Makhnev and V. V. Nosov},
title = {On automorphisms of strongly regular graphs with $\lambda=0$, $\mu=2$},
journal = {Sbornik. Mathematics},
pages = {347--367},
publisher = {mathdoc},
volume = {195},
number = {3},
year = {2004},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2004_195_3_a2/}
}
A. A. Makhnev; V. V. Nosov. On automorphisms of strongly regular graphs with $\lambda=0$, $\mu=2$. Sbornik. Mathematics, Tome 195 (2004) no. 3, pp. 347-367. http://geodesic.mathdoc.fr/item/SM_2004_195_3_a2/