Geodesic
Automorphisms of a strongly regular graph with parameters $(532,156,30,52)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 930-939.

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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 strongly regular graph with parameters $(532,156,30,52)$. Let $\Gamma$ be a strongly regular graph with parameters $(532,156,30,52)$ and $G={\rm Aut}(\Gamma)$ be a nonsolvable group acting transitively on the vertex set of $\Gamma$. Then $\bar G=G/O_2(G)\cong J_1$, $S(G)=O_2(G)$ is an irreducible $F_2J_1$-module, $|O_2(G)|>2$ and $\bar G_a\cong L_2(11)$.
Keywords: strongly regular graph
Mots-clés : automorphism group. 
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     title = {Automorphisms of a strongly regular graph with parameters $(532,156,30,52)$},
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A. A. Makhnev; M. M. Khamgokova. Automorphisms of a strongly regular graph with parameters $(532,156,30,52)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 930-939. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a29/

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