Geodesic
Recognizing $L_3(4)$ by the set of element orders in the class of all groups
Algebra i logika, Tome 54 (2015) no. 4, pp. 439-443.

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A finite simple group $L_3(4)$ is characterized up to isomorphism by its set of element orders in the class of all groups.
Keywords: periodic group, locally finite group. 
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A. S. Mamontov; E. Jabara. Recognizing $L_3(4)$ by the set of element orders in the class of all groups. Algebra i logika, Tome 54 (2015) no. 4, pp. 439-443. http://geodesic.mathdoc.fr/item/AL_2015_54_4_a1/

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