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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 233–244 (Mi mzm6828)  

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

$K_1$-theory and the congruence problem

L. N. Vaserstein
Abstract: The following results are presented: a) A $K_1$-functor of a noncommutative ring with unity is a factor of a general linear group with respect to the subgroup of elementary matrices; b) a description is given of all the subgroups of finite index in a special linear group over the order in a field.
Received: 23.12.1967
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 141–148
DOI: https://doi.org/10.1007/BF01098314
Bibliographic databases:
UDC: 513.83
Language: Russian
Citation: L. N. Vaserstein, “$K_1$-theory and the congruence problem”, Mat. Zametki, 5:2 (1969), 233–244; Math. Notes, 5:2 (1969), 141–148
Citation in format AMSBIB
\Bibitem{Vas69}
\by L.~N.~Vaserstein
\paper $K_1$-theory and the congruence problem
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 233--244
\mathnet{http://mi.mathnet.ru/mzm6828}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=246941}
\zmath{https://zbmath.org/?q=an:0195.32202}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 141--148
\crossref{https://doi.org/10.1007/BF01098314}
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  • https://www.mathnet.ru/eng/mzm6828
  • https://www.mathnet.ru/eng/mzm/v5/i2/p233
  • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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