On recognition of finite simple groups by their spectra
Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 59-63.

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

The question on recognizing finite simple groups by their spectra is investigated. Some recent results on special linear and unitary groups in this direction are discussed.
@article{TIMB_2008_16_1_a9,
     author = {V. D. Mazurov},
     title = {On recognition of finite simple groups by their spectra},
     journal = {Trudy Instituta matematiki},
     pages = {59--63},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a9/}
}
TY  - JOUR
AU  - V. D. Mazurov
TI  - On recognition of finite simple groups by their spectra
JO  - Trudy Instituta matematiki
PY  - 2008
SP  - 59
EP  - 63
VL  - 16
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a9/
LA  - ru
ID  - TIMB_2008_16_1_a9
ER  - 
%0 Journal Article
%A V. D. Mazurov
%T On recognition of finite simple groups by their spectra
%J Trudy Instituta matematiki
%D 2008
%P 59-63
%V 16
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a9/
%G ru
%F TIMB_2008_16_1_a9
V. D. Mazurov. On recognition of finite simple groups by their spectra. Trudy Instituta matematiki, Tome 16 (2008) no. 1, pp. 59-63. http://geodesic.mathdoc.fr/item/TIMB_2008_16_1_a9/

[1] Mazurov V.D., “Gruppy s zadannym spektrom”, Izv. Uralskogo gos. un-ta. Matematika i mekhanika, 36:7 (2005), 119–138 | MR | Zbl

[2] Gorenstein D., Finite simple groups: an introduction to their classification, Plenum Press, New York, 1982 ; Gorenstein D., Konechnye gruppy: vvedenie v ikh klassifikatsiyu, Mir, M., 1985 | MR | Zbl | MR | Zbl

[3] Conway J.H., Curtis R.T., Norton S.P., Parker R.A., Wilson R.A., Atlas of finite groups, Clarendon Press, Oxford, 1995

[4] Testerman D.M., “$A_1$-type overgroups of elements of order $p$ in semisimple algebraic groups and the associated finite groups”, J. Algebra, 177:1 (1995), 34–76 | DOI | MR | Zbl

[5] Veldkamp F.D., “Regular elements in anisotropic tori”, Contributions to algebra, A collect. papers, ed. E. Kolchin, Academic Press, New York, 1977, 389–424 | MR

[6] Buturlakin A.A., Grechkoseeva M.A., “Tsiklicheskoe stroenie maksimalnykh torov v konechnykh klassicheskikh gruppakh”, Algebra i logika, 46:2 (2007), 129–156 | MR | Zbl

[7] Williams J.S., “Prime graph components of finite groups”, J. Algebra, 69:2 (1981), 487–513 | DOI | MR | Zbl

[8] Kondratev A.S., “O komponentakh grafa prostykh chisel dlya konechnykh prostykh grupp”, Mat. sb., 180:6 (1989), 787–797

[9] Vasilev A.V., “O svyazi mezhdu stroeniem konechnoi gruppy i svoistvami ee grafa prostykh chisel”, Sib. mat. zhurn., 46:3 (2005), 511–522 | MR

[10] Vasilev A.V., Vdovin E.P., “Kriterii smezhnosti v grafe prostykh chisel konechnoi prostoi gruppy”, Algebra i logika, 44:6 (2005), 682–725 | MR

[11] Steinberg R., “Automorphisms of finite linear groups”, Canad. J. Math., 12:4 (1960), 606–616 | DOI | MR

[12] Zavarnitsin A.V., “Raspoznavanie prostykh grupp $U_3(q)$ po poryadkam elementov”, Algebra i logika, 45:2 (2006), 185–202 | MR | Zbl