Mathematics of the USSR-Sbornik
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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 53 scientific papers (total in 53 papers)

The stabilization of symplectic groups over a polynomial ring

V. I. Kopeiko
English version PDF (779 kB) Citations (53)
References:
PDF
HTML
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
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1978, Volume 106(148), Number 1(5), Pages 94–107
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”, Mat. Sb. (N.S.), 106(148):1(5) (1978), 94–107; 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 Mat. Sb. (N.S.)
\yr 1978
\vol 106(148)
\issue 1(5)
\pages 94--107
\mathnet{http://mi.mathnet.ru/sm2556}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=497932}
\zmath{https://zbmath.org/?q=an:0398.20051|0414.20037}
\transl
\jour Math. USSR-Sb.
\yr 1978
\vol 34
\issue 5
\pages 655--669
\crossref{https://doi.org/10.1070/SM1978v034n05ABEH001337}
Linking options:
  • https://www.mathnet.ru/eng/sm2556
  • https://doi.org/10.1070/SM1978v034n05ABEH001337
  • https://www.mathnet.ru/eng/sm/v148/i1/p94
    • This publication is cited in the following 53 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:443
    Russian version PDF:149
    English version PDF:28
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024