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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1982 Volume 118(160), Number 2(6), Pages 203–235 (Mi sm2249)

This article is cited in 25 papers

On the Novikov–Adyan theorem

A. Yu. Ol'shanskii


Abstract: 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.

UDC: 512

MSC: 20E05, 20F05

Received: 06.04.1981


 English version:
Mathematics of the USSR-Sbornik, 1983, 46:2, 203–236

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© Steklov Math. Inst. of RAS, 2026