Algebra i analiz, Tome 21 (2009) no. 5, pp. 138-154
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A. A. Makhnev; V. V. Nosov. On automorphisms of strongly regular graphs with $\lambda=0$ and $\mu=3$. Algebra i analiz, Tome 21 (2009) no. 5, pp. 138-154. http://geodesic.mathdoc.fr/item/AA_2009_21_5_a6/
@article{AA_2009_21_5_a6,
author = {A. A. Makhnev and V. V. Nosov},
title = {On automorphisms of strongly regular graphs with $\lambda=0$ and $\mu=3$},
journal = {Algebra i analiz},
pages = {138--154},
year = {2009},
volume = {21},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AA_2009_21_5_a6/}
}
TY - JOUR
AU - A. A. Makhnev
AU - V. V. Nosov
TI - On automorphisms of strongly regular graphs with $\lambda=0$ and $\mu=3$
JO - Algebra i analiz
PY - 2009
SP - 138
EP - 154
VL - 21
IS - 5
UR - http://geodesic.mathdoc.fr/item/AA_2009_21_5_a6/
LA - ru
ID - AA_2009_21_5_a6
ER -
%0 Journal Article
%A A. A. Makhnev
%A V. V. Nosov
%T On automorphisms of strongly regular graphs with $\lambda=0$ and $\mu=3$
%J Algebra i analiz
%D 2009
%P 138-154
%V 21
%N 5
%U http://geodesic.mathdoc.fr/item/AA_2009_21_5_a6/
%G ru
%F AA_2009_21_5_a6
A strongly regular graph with $\lambda=0$ and $\mu=3$ is of degree $3$ or $21$. The automorphisms of prime order and the subgraphs of their fixed points are described for a strongly regular graph $\Gamma$ with parameters $(162,21,0,3)$. In particular, the inequality $|G/O(G)|\le 2$ holds true for $G=\operatorname{Aut}(\Gamma)$.
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