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Mathematics of the USSR-Izvestiya, 1977, Volume 11, Issue 2, Pages 221–238
DOI: https://doi.org/10.1070/IM1977v011n02ABEH001709
(Mi im1800)
 

This article is cited in 212 scientific papers (total in 212 papers)

On the structure of the special linear group over polynomial rings

A. A. Suslin
References:
Abstract: It is proved that the special linear group of degree not less than three over the polynomial ring over a field is generated by the elementary matrices. Other results are obtained that relate to the structure of the special linear group and stabilization of the general linear group over arbitrary polynomial and Laurent rings.
Bibliography: 9 titles.
Received: 24.06.1976
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1977, Volume 41, Issue 2, Pages 235–252
Bibliographic databases:
UDC: 519.443
MSC: Primary 20G35; Secondary 15A33, 18F25
Language: English
Original paper language: Russian
Citation: A. A. Suslin, “On the structure of the special linear group over polynomial rings”, Izv. Akad. Nauk SSSR Ser. Mat., 41:2 (1977), 235–252; Math. USSR-Izv., 11:2 (1977), 221–238
Citation in format AMSBIB
\Bibitem{Sus77}
\by A.~A.~Suslin
\paper On the structure of the special linear group over polynomial rings
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1977
\vol 41
\issue 2
\pages 235--252
\mathnet{http://mi.mathnet.ru/im1800}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=472792}
\zmath{https://zbmath.org/?q=an:0354.13009|0378.13002}
\transl
\jour Math. USSR-Izv.
\yr 1977
\vol 11
\issue 2
\pages 221--238
\crossref{https://doi.org/10.1070/IM1977v011n02ABEH001709}
Linking options:
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  • https://doi.org/10.1070/IM1977v011n02ABEH001709
  • https://www.mathnet.ru/eng/im/v41/i2/p235
  • This publication is cited in the following 212 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
    Statistics & downloads:
    Abstract page:1991
    Russian version PDF:710
    English version PDF:88
    References:120
    First page:4
     
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