Geodesic
On the prime spectrum of an automorphism group of an $\mathrm{AT4}(p,p+2,r)$-graph
Algebra i analiz, Tome 32 (2020) no. 5, pp. 130-144.

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

@article{AA_2020_32_5_a5,
     author = {L. Yu. Tsiovkina},
     title = {On the prime spectrum of an automorphism group of an $\mathrm{AT4}(p,p+2,r)$-graph},
     journal = {Algebra i analiz},
     pages = {130--144},
     publisher = {mathdoc},
     volume = {32},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2020_32_5_a5/}
}
TY  - JOUR
AU  - L. Yu. Tsiovkina
TI  - On the prime spectrum of an automorphism group of an $\mathrm{AT4}(p,p+2,r)$-graph
JO  - Algebra i analiz
PY  - 2020
SP  - 130
EP  - 144
VL  - 32
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AA_2020_32_5_a5/
LA  - ru
ID  - AA_2020_32_5_a5
ER  - 
%0 Journal Article
%A L. Yu. Tsiovkina
%T On the prime spectrum of an automorphism group of an $\mathrm{AT4}(p,p+2,r)$-graph
%J Algebra i analiz
%D 2020
%P 130-144
%V 32
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AA_2020_32_5_a5/
%G ru
%F AA_2020_32_5_a5
L. Yu. Tsiovkina. On the prime spectrum of an automorphism group of an $\mathrm{AT4}(p,p+2,r)$-graph. Algebra i analiz, Tome 32 (2020) no. 5, pp. 130-144. http://geodesic.mathdoc.fr/item/AA_2020_32_5_a5/

[1] Jurišić A., Koolen J. H., Terwilliger P., “Tight distance-regular graphs”, J. Algebr. Comb., 12:2 (2000), 163–197 | DOI | MR | Zbl

[2] Jurišić A., “${\rm AT}4$ family and $2$-homogeneous graphs”, Discrete Math., 264:1-3 (2003), 127–148 | DOI | MR | Zbl

[3] Brouwer A. E., Cohen A. M., Neumaier A., Corrections and additions to the book “Distance-regular graphs”, manuscript, 2016 | MR

[4] Soicher L. H., “Three new distance-regular graphs”, European J. Combin., 14:5 (1993), 501–505 | DOI | MR | Zbl

[5] Conway J., Curtis R., Norton S., Parker R., Wilson R., Atlas of finite groups. Maximal subgroups and ordinary characters for simple groups, Oxford Univ. Press, Eynsham, 1985 | MR | Zbl

[6] Tsiovkina L. Yu., “O gruppe avtomorfizmov antipodalnogo plotnogo grafa diametra $4$ s parametrami $(5,7,r)$”, Mat. zametki, 105:1 (2019), 123–135 | MR | Zbl

[7] Tsiovkina L. Yu., “O gruppakh avtomorfizmov ${\rm AT4}(7,9,r)$-grafov i ikh lokalnykh podgrafov”, Tr. IMM UrO RAN, 24, no. 3, 2018, 263–271 | MR

[8] Makhnev A. A., Nirova M. S., “Ob avtomorfizmakh distantsionno regulyarnogo grafa s massivom peresechenii $\{69,56,10;1,14,60\}$”, Tr. IMM UrO RAN, 23, no. 3, 2017, 182–190

[9] Brouwer A. E., Cohen A. M., Neumaier A., Distance-regular graphs, Ergeb. Math. Grenzgeb. (3), 18, Springer-Verlag, Berlin, 1989 | MR | Zbl

[10] Jurišić A., Koolen J. H., “Distance-regular graphs with complete multipartite $\mu$-graphs and $AT4$ family”, J. Algebraic Combin., 25:4 (2007), 459–471 | DOI | MR | Zbl

[11] Gavrilyuk A. L., Makhnev A. A., Paduchikh D. V., “O distantsionno regulyarnykh grafakh, v kotorykh okrestnosti vershin silno regulyarny”, Dokl. RAN, 452:3 (2013), 247–251 | Zbl

[12] Cameron P. J., Permutation groups, London Math. Soc. Student Texts, 45, Cambridge Univ. Press, Cambridge, 1999 | MR | Zbl

[13] Behbahani M., Lam C., “Strongly regular graphs with non-trivial automorphisms”, Discrete Math., 311:2-3 (2011), 132–144 | DOI | MR | Zbl

[14] Dixon J. D., Mortimer B., Permutation groups, Grad. Texts in Math., 163, Springer-Verlag, New York, 1996 | DOI | MR | Zbl

[15] Guralnick R., Kunyavskiǐ B., Plotkin E., Shalev A., “Thompson-like characterizations of the solvable radical”, J. Algebra, 300:1 (2006), 363–375 | DOI | MR | Zbl

[16] Zavarnitsine A. V., “Finite simple groups with narrow prime spectrum”, Sib. elektron. mat. izv., 6 (2009), 1–12 | MR | Zbl