Geodesic
Automorphisms of distance regular graph with intersection array $\{30,27,24;1,2,10\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 493-500.

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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 $\{30,27,24;1,2,10\}$. 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 $(G)$ is $\{2\}$-group, and $\bar T\cong L_2(11)$, $M_{11}$, $U_5(2)$, $M_{22}$, $A_{11}$, $HiS$.
Keywords: strongly regular graph, distance-regular graph
Mots-clés : automorphism. 
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     title = {Automorphisms of distance regular graph with intersection array $\{30,27,24;1,2,10\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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A. A. Makhnev; V. I. Belousova. Automorphisms of distance regular graph with intersection array $\{30,27,24;1,2,10\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 16 (2019), pp. 493-500. http://geodesic.mathdoc.fr/item/SEMR_2019_16_a64/

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