On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 802-809.

Voir la notice de l'article provenant de la source Math-Net.Ru

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 $\{75,72,1;1,12,75\}$. It is proved that this graph does not vertex-symmetric.
Keywords: distance-regular graph
Mots-clés : automorphism group, antipodal cover.
@article{SEMR_2015_12_a25,
     author = {A. A. Makhnev and N. V. Chuksina},
     title = {On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {802--809},
     publisher = {mathdoc},
     volume = {12},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2015_12_a25/}
}
TY  - JOUR
AU  - A. A. Makhnev
AU  - N. V. Chuksina
TI  - On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$
JO  - Sibirskie èlektronnye matematičeskie izvestiâ
PY  - 2015
SP  - 802
EP  - 809
VL  - 12
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SEMR_2015_12_a25/
LA  - ru
ID  - SEMR_2015_12_a25
ER  - 
%0 Journal Article
%A A. A. Makhnev
%A N. V. Chuksina
%T On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$
%J Sibirskie èlektronnye matematičeskie izvestiâ
%D 2015
%P 802-809
%V 12
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SEMR_2015_12_a25/
%G ru
%F SEMR_2015_12_a25
A. A. Makhnev; N. V. Chuksina. On automorphisms of a distance-regular graph with intersection array $\{75,72,1;1,12,75\}$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 12 (2015), pp. 802-809. http://geodesic.mathdoc.fr/item/SEMR_2015_12_a25/

[1] V. P. Burichenko, A. A. Makhnev, “O vpolne regulyarnykh lokalno tsiklicheskikh grafakh”, Sovremennye problemy matematiki, Tezisy 42 Vserossiiskoi molodezhnoi konferentsii, IMM UrO RAN, Ekaterinburg, 2011, 181–183 | MR

[2] A. E. Brouwer, A. M. Cohen, A. Neumaier, Distance-Regular Graphs, Springer-Verlag, Berlin–Heidelberg–New-York, 1989 | MR | Zbl

[3] P. J. Cameron, Permutation Groups, London Math. Soc. Student Texts, 45, Cambridge University Press, Cambridge, 1999 | MR | Zbl

[4] A. L. Gavrilyuk, A. A. Makhnev, “Ob avtomorfizmakh distantsionno regulyarnogo grafa s massivom peresechenii $\{56,45,1;1,9,56\}$”, Doklady akademii nauk, 432:5 (2010), 512–515 | MR

[5] A. A. Makhnev, D. V. Paduchikh, L. Yu. Tsiovkina, “Reberno simmetrichnye distantsionno regulyarnye nakrytiya klik s $\lambda=\mu$”, Doklady akademii nauk, 448:1 (2013), 22–26 | DOI | MR | Zbl

[6] A. V. Zavarnitsine, “Finite simple groups with narrow prime spectrum”, Sibirean Electr. Math. Reports, 6 (2009), 1–12 | MR | Zbl