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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
English version PDF (999 kB) Citations (24)
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DOI: https://doi.org/10.1070/IM1970v004n04ABEH000928
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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 4, Pages 715–734
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”, Izv. Akad. Nauk SSSR Ser. Mat., 34:4 (1970), 715–734; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 4
\pages 715--734
\mathnet{http://mi.mathnet.ru/im2442}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=286871}
\zmath{https://zbmath.org/?q=an:0221.20047}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 4
\pages 721--739
\crossref{https://doi.org/10.1070/IM1970v004n04ABEH000928}
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  • 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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    Abstract page:502
    Russian version PDF:120
    English version PDF:17
    References:87
    First page:3
     
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