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Mathematics of the USSR-Sbornik, 1983, Volume 46, Issue 2, Pages 203–236
DOI: https://doi.org/10.1070/SM1983v046n02ABEH002768
(Mi sm2249)
 

This article is cited in 24 scientific papers (total in 25 papers)

On the Novikov–Adyan theorem

A. Yu. Ol'shanskii
References:
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
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1982, Volume 118(160), Number 2(6), Pages 203–235
Bibliographic databases:
UDC: 512
MSC: 20E05, 20F05
Language: English
Original paper language: Russian
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
Citation in format AMSBIB
\Bibitem{Ols82}
\by A.~Yu.~Ol'shanskii
\paper On the Novikov--Adyan theorem
\jour Mat. Sb. (N.S.)
\yr 1982
\vol 118(160)
\issue 2(6)
\pages 203--235
\mathnet{http://mi.mathnet.ru/sm2249}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=658789}
\zmath{https://zbmath.org/?q=an:0539.20020}
\transl
\jour Math. USSR-Sb.
\yr 1983
\vol 46
\issue 2
\pages 203--236
\crossref{https://doi.org/10.1070/SM1983v046n02ABEH002768}
Linking options:
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  • https://doi.org/10.1070/SM1983v046n02ABEH002768
  • https://www.mathnet.ru/eng/sm/v160/i2/p203
  • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:745
    Russian version PDF:303
    English version PDF:34
    References:53
     
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