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Mathematics of the USSR-Izvestiya, 1970, Volume 4, Issue 2, Pages 381–389
DOI: https://doi.org/10.1070/IM1970v004n02ABEH000911 (Mi im2421) 		 
This article is cited in 29 scientific papers (total in 30 papers)

On the problem of a finite basis of identities in groups

A. Yu. Ol'shanskii
English version PDF (470 kB) Citations (30)
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DOI: https://doi.org/10.1070/IM1970v004n02ABEH000911
Abstract: This paper contains a proof that the set of varieties of groups has the cardinality of the continuum. This implies the existence of an infinite system of group identities not equivalent to any finite system.
Received: 14.10.1969
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1970, Volume 34, Issue 2, Pages 376–384
Bibliographic databases:
UDC: 519.4
MSC: 20E10, 03E10, 20E07, 20E36
Language: English
Original paper language: Russian
Citation: A. Yu. Ol'shanskii, “On the problem of a finite basis of identities in groups”, Izv. Akad. Nauk SSSR Ser. Mat., 34:2 (1970), 376–384; Math. USSR-Izv., 4:2 (1970), 381–389
Citation in format AMSBIB
\Bibitem{Ols70}
\by A.~Yu.~Ol'shanskii
\paper On the problem of a finite basis of identities in groups
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1970
\vol 34
\issue 2
\pages 376--384
\mathnet{http://mi.mathnet.ru/im2421}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=286872}
\zmath{https://zbmath.org/?q=an:0215.10504}
\transl
\jour Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 381--389
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000911}
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  • https://www.mathnet.ru/eng/im/v34/i2/p376
    • This publication is cited in the following 30 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:445
    Russian version PDF:142
    English version PDF:6
    References:39
    First page:1
     
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