Geodesic
On automorphisms of a distance-regular graph with intersection array $\{39,36,22;1,2,18\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 638-647

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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 $\{39,36,22;1,2,18\}$. Let $G={\rm Aut}(\Gamma)$ is nonsolvable group, $\bar G=G/S(G)$ and $\bar T$ is the socle of $\bar G$. If $\Gamma$ is vertex-symmetric then $\bar T=L\times M$ and $L, M\cong Z_5,A_5,A_6$ or $PSp(4,3)$.
Keywords: distance-regular graph
Mots-clés : automorphism. 
@article{SEMR_2019_16_a67,
     author = {A. A. Makhnev and M. M. Khamgokova},
     title = {On automorphisms of a distance-regular graph with intersection array  $\{39,36,22;1,2,18\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {638--647},
     publisher = {mathdoc},
     volume = {16},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2019_16_a67/}
}
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A. A. Makhnev; M. M. Khamgokova. On automorphisms of a distance-regular graph with intersection array  $\{39,36,22;1,2,18\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 638-647. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a67/