Geodesic
Sporadic composition factors of finite groups isospectral to simple groups
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 268-272

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This paper considers a group which has a nonabelian sporadic composition factor and the same set of element orders as a finite simple group. It is proved that such group is isomorphic to $U_5(2)$ or a sporadic group.
Keywords: recognition by spectrum, sporadic groups, finite simple groups. 
@article{SEMR_2011_8_a21,
     author = {A. M. Staroletov},
     title = {Sporadic composition factors of finite groups isospectral to simple groups},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {268--272},
     publisher = {mathdoc},
     volume = {8},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2011_8_a21/}
}
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A. M. Staroletov. Sporadic composition factors of finite groups isospectral to simple groups. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 8 (2011), pp. 268-272. http://geodesic.mathdoc.fr/item/SEMR_2011_8_a21/