Geodesic
On the Novikov–Adyan theorem
Sbornik. Mathematics, Tome 46 (1983) no. 2, pp. 203-236 
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/
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     title = {On the {Novikov{\textendash}Adyan} theorem},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Novikov P. S., Adyan S. I., “O beskonechnykh periodicheskikh gruppakh, I, II, III”, Izv. AN SSSR, ser. matem., 32 (1968), 212–244 ; 251–524 ; 709–731 | Zbl

[2] Adyan S. I., Problema Bernsaida i tozhdestva v gruppakh, Nauka, M., 1975 | MR | Zbl

[3] Olshanskii A. Yu., “Beskonechnaya prostaya nëterova gruppa bez krucheniya”, Izv. AN SSSR, ser. matem., 43 (1979), 1328–1393 | MR

[4] Olshanskii A. Yu., “Beskonechnaya gruppa s podgruppami prostykh poryadkov”, Izv. AN SSSR, ser. matem., 44 (1980), 309–321 | MR

[5] Lindon R., Shupp P., Kombinatornaya teoriya grupp, Mir, M., 1980 | MR

[6] Borisovich Yu. G., Bliznyakov N. M., Izrailevich Ya. A., Fomenko T. N., Vvedenie v topologiyu, Vysshaya shkola, M., 1980 | MR

[7] Kharari F., Teoriya grafov, Mir, M., 1973 | MR