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Mathematics of the USSR-Sbornik, 1978, Volume 34, Issue 5, Pages 655–669
DOI: https://doi.org/10.1070/SM1978v034n05ABEH001337 (Mi sm2556) 		 
This article is cited in 54 scientific papers (total in 54 papers)

The stabilization of symplectic groups over a polynomial ring

V. I. Kopeiko
English version PDF (779 kB) Citations (54) Russian version article
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DOI: https://doi.org/10.1070/SM1978v034n05ABEH001337
Abstract: We prove that if $B$ is a polynomial ring over a field, then for $r\geqslant2$, any element of $Sp_{2r}B$ can be written as a product of elementary symplectic matrices over $B$.
We also prove a stabilization theorem for the symplectic $K_1$-functor in the case of polynomial rings and Laurent rings.
Bibliography: 6 titles.
Received: 21.03.1977
Bibliographic databases:
UDC: 512.864
MSC: 20G35, 18F25
Language: English
Original paper language: Russian
Citation: V. I. Kopeiko, “The stabilization of symplectic groups over a polynomial ring”, Math. USSR-Sb., 34:5 (1978), 655–669
Citation in format AMSBIB
\Bibitem{Kop78}
\by V.~I.~Kopeiko
\paper The stabilization of symplectic groups over a~polynomial ring
\jour Math. USSR-Sb.
\yr 1978
\vol 34
\issue 5
\pages 655--669
\mathnet{http://mi.mathnet.ru//eng/sm2556}
\crossref{https://doi.org/10.1070/SM1978v034n05ABEH001337}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=497932}
\zmath{https://zbmath.org/?q=an:0398.20051|0414.20037}
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    • This publication is cited in the following 54 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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