Geodesic
On automorphisms of a strongly regular graph $(784,116,0,20)$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 80-87 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is studied the group $G$ of automorphisms of a strongly regular graph with parameters $(784,116,0,20)$. We proved that if $G$ contain an element of prime order $p$, then $p\in\{2,7\}$. As a corollary, it is followed that the group of automorphisms of this srg is not quasy primitive. 
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     author = {A. L. Gavrilyuk},
     title = {On automorphisms of a~strongly regular graph $(784,116,0,20)$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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A. L. Gavrilyuk. On automorphisms of a strongly regular graph $(784,116,0,20)$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 80-87. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a9/

[1] Cameron P., Van Lint J., Designs, Graphs, Codes and their Links, London Math. Soc. Student Texts, 22, Cambr. Univ. Press, 1981, 240 pp. | MR | Zbl

[2] Gavrilyuk A. L., Makhnev A. A., “O grafakh Kreina bez treugolnikov”, Doklady RAN, matem., 403:6 (2005), 727–730 | MR | Zbl

[3] Makhnev A. A., Nosov V. V., “Ob avtomorfizmakh silno regulyarnykh grafov Kreina bez treugolnikov”, Algebra i logika, 44:3 (2005), 335–354 | MR | Zbl

[4] Cameron P., Permutation Groups, London Math. Soc. Student Texts, 45, Cambr. Univ. Press, 1999, 220 pp. | Zbl

[5] Van Dam E., Haemers W. H., “Graphs with constant $\mu$ and $\bar\mu$”, Discrete Math., 162 (1998), 293–307 | MR