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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
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
Citation:
A. Yu. Ol'shanskii, “On the problem of a finite basis of identities in groups”, Math. USSR-Izv., 4:2 (1970), 381–389
Linking options:
https://www.mathnet.ru/eng/im2421https://doi.org/10.1070/IM1970v004n02ABEH000911 https://www.mathnet.ru/eng/im/v34/i2/p376
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Abstract page: | 548 | Russian version PDF: | 166 | English version PDF: | 37 | References: | 62 | First page: | 1 |
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