Geodesic
On automorphisms of a distance-regular graph with intersection array $\{44,30,5;1,3,40\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 777-785

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Prime divisors of orders of automorphisms and the fixed point subgraphs of automorphisms of prime orders are studied for a hypothetical distance-regular graph with intersection array $\{44,30,5;1,3,40\}$. Let $G={\rm Aut}(\Gamma)$ is nonsolvable group. If $\Gamma$ is arc-transitive then $G$ is is an extension of some group $P$ by $PGL_2(11)$, $|P:O_3(P)|=2$, $|G_a:P_a|=11$ and $|P:P_a|=9$.
Keywords: distance-regular graph
Mots-clés : automorphism. 
@article{SEMR_2019_16_a68,
     author = {A. A. Makhnev and V. V. Bitkina},
     title = {On automorphisms of a distance-regular graph with intersection array $\{44,30,5;1,3,40\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {777--785},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a68/}
}
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A. A. Makhnev; V. V. Bitkina. On automorphisms of a distance-regular graph with intersection array $\{44,30,5;1,3,40\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 777-785. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a68/