Geodesic
Characterization of the linear groups PSL (2,11) and PSL (2,13)
Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 247-252 
N. D. Podufalov. Characterization of the linear groups PSL (2,11) and PSL (2,13). Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 247-252. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a7/
@article{MZM_1974_16_2_a7,
     author = {N. D. Podufalov},
     title = {Characterization of the linear groups {PSL} (2,11) and {PSL} (2,13)},
     journal = {Matemati\v{c}eskie zametki},
     pages = {247--252},
     year = {1974},
     volume = {16},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a7/}
}
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We prove the nonsimplicity of a finite group containing an involution $\tau$ such that the quotient group $C(\tau)/{\tau}$ the Frobenius group with an additional factor of odd prime order acting transitively on the nonunit elements of the kernel. Based on this we obtain a characterization of the linear groups PSL (2, 11) and PSL (2, 13).