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This article is cited in 24 scientific papers (total 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.
Received: 06.04.1981
Citation:
A. Yu. Ol'shanskii, “On the Novikov–Adyan theorem”, Mat. Sb. (N.S.), 118(160):2(6) (1982), 203–235; Math. USSR-Sb., 46:2 (1983), 203–236
Linking options:
https://www.mathnet.ru/eng/sm2249https://doi.org/10.1070/SM1983v046n02ABEH002768 https://www.mathnet.ru/eng/sm/v160/i2/p203
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Abstract page: | 745 | Russian version PDF: | 303 | English version PDF: | 34 | References: | 53 |
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