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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 31 scientific papers (total in 32 papers)

On the problem of a finite basis of identities in groups

A. Yu. Ol'shanskii
English version PDF (470 kB) Citations (32) Russian version article
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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
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”, 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 Math. USSR-Izv.
\yr 1970
\vol 4
\issue 2
\pages 381--389
\mathnet{http://mi.mathnet.ru/eng/im2421}
\crossref{https://doi.org/10.1070/IM1970v004n02ABEH000911}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=286872}
\zmath{https://zbmath.org/?q=an:0215.10504}
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  • https://www.mathnet.ru/eng/im/v34/i2/p376
    • This publication is cited in the following 32 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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