Geodesic
On the Novikov--Adyan theorem
Sbornik. Mathematics, Tome 46 (1983) no. 2, pp. 203-236

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A new solution of the restricted Burnside problem for sufficiently large odd exponents is presented. The proof is considerably shorter than the original one given by P. S. Novikov and S. I. Adyan in 1968 (although the bound for the exponent is worse: $n>10^{10}$). It is based on a geometrical interpretation of deducibility of relations in a group from its defining relations. Figures: 16. Bibliography: 7 titles. 
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     title = {On the {Novikov--Adyan} theorem},
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A. Yu. Ol'shanskii. On the Novikov--Adyan theorem. Sbornik. Mathematics, Tome 46 (1983) no. 2, pp. 203-236. http://geodesic.mathdoc.fr/item/SM_1983_46_2_a4/