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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 4, Pages 721–739
DOI: https://doi.org/10.1070/IM1970v004n04ABEH000928
(Mi im2442)
 

This article is cited in 22 scientific papers (total in 24 papers)

Infinite irreducible systems of group identities

S. I. Adian
References:
Abstract: In this paper we construct infinite irreducible systems of group identities in two variables. We also demonstrate the existence of a group defined by two generators and a countable set of identity relations in which the word problem is unsolvable.
Received: 26.02.1970
Bibliographic databases:
Document Type: Article
UDC: 519.4
MSC: 20E10, 20F10, 20F05
Language: English
Original paper language: Russian
Citation: S. I. Adian, “Infinite irreducible systems of group identities”, Math. USSR-Izv., 4:4 (1970), 721–739
Citation in format AMSBIB
\Bibitem{Adi70}
\by S.~I.~Adian
\paper Infinite irreducible systems of group identities
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 4
\pages 721--739
\mathnet{http://mi.mathnet.ru//eng/im2442}
\crossref{https://doi.org/10.1070/IM1970v004n04ABEH000928}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=286871}
\zmath{https://zbmath.org/?q=an:0221.20047}
Linking options:
  • https://www.mathnet.ru/eng/im2442
  • https://doi.org/10.1070/IM1970v004n04ABEH000928
  • https://www.mathnet.ru/eng/im/v34/i4/p715
  • This publication is cited in the following 24 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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