Geodesic
Infinite periodic groups. III
Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 665-685

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In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem. 
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P. S. Novikov; S. I. Adian. Infinite periodic groups. III. Izvestiya. Mathematics , Tome 2 (1968) no. 3, pp. 665-685. http://geodesic.mathdoc.fr/item/IM2_1968_2_3_a8/