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Mathematics of the USSR-Izvestiya, 1968, Volume 2, Issue 1, Pages 209–236
DOI: https://doi.org/10.1070/IM1968v002n01ABEH000637 (Mi im2699) 		 
This article is cited in 82 scientific papers (total in 84 papers)

Infinite periodic groups. I

P. S. Novikov, S. I. Adian
English version PDF (1591 kB) Citations (84) Russian version article
DOI: https://doi.org/10.1070/IM1968v002n01ABEH000637
Abstract: In this paper we construct an example of an infinite periodic group with a finite number of generators, in which the orders of all the elements are bounded by a specified number. This is a solution of the well-known Burnside problem.
Received: 23.10.1967
Bibliographic databases:
Document Type: Article
UDC: 519.4
MSC: 20F50, 20F05, 20F10
Language: English
Original paper language: Russian
Citation: P. S. Novikov, S. I. Adian, “Infinite periodic groups. I”, Math. USSR-Izv., 2:1 (1968), 209–236
Citation in format AMSBIB
\Bibitem{NovAdi68}
\by P.~S.~Novikov, S.~I.~Adian
\paper Infinite periodic groups. I
\jour Math. USSR-Izv.
\yr 1968
\vol 2
\issue 1
\pages 209--236
\mathnet{http://mi.mathnet.ru//eng/im2699}
\crossref{https://doi.org/10.1070/IM1968v002n01ABEH000637}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=240178}
\zmath{https://zbmath.org/?q=an:0194.03301}
Linking options:
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  • https://doi.org/10.1070/IM1968v002n01ABEH000637
  • https://www.mathnet.ru/eng/im/v32/i1/p212
    Cycle of papers
    This publication is cited in the following 84 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:1716
    Russian version PDF:402
    English version PDF:40
    First page:3
     
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