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Mathematics of the USSR-Sbornik, 1972, Volume 18, Issue 2, Pages 321–332
DOI: https://doi.org/10.1070/SM1972v018n02ABEH001775 (Mi sm3234) 		 
This article is cited in 49 scientific papers (total in 49 papers)

On the group $SL_2$ over Dedekind rings of arithmetic type

L. N. Vaserstein
English version PDF (621 kB) Citations (49)
References:
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DOI: https://doi.org/10.1070/SM1972v018n02ABEH001775
Abstract: It is proved that the group of matrices of order two with determinant 1 over a Dedekind ring of arithmetic type is generated by elementary matrices if there are infinitely many invertible elements in this ring. We also obtain a more general result, describing the group generated by elementary matrices belonging to a congruence subgroup.
Bibliography: 6 titles.
Received: 13.12.1971
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1972, Volume 89(131), Number 2(10), Pages 313–322
Bibliographic databases:
UDC: 519.443
MSC: Primary 20H05, 15A33; Secondary 10M20
Language: English
Original paper language: Russian
Citation: L. N. Vaserstein, “On the group $SL_2$ over Dedekind rings of arithmetic type”, Mat. Sb. (N.S.), 89(131):2(10) (1972), 313–322; Math. USSR-Sb., 18:2 (1972), 321–332
Citation in format AMSBIB
\Bibitem{Vas72}
\by L.~N.~Vaserstein
\paper On~the group $SL_2$ over Dedekind rings of arithmetic type
\jour Mat. Sb. (N.S.)
\yr 1972
\vol 89(131)
\issue 2(10)
\pages 313--322
\mathnet{http://mi.mathnet.ru/sm3234}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=435293}
\zmath{https://zbmath.org/?q=an:0359.20027}
\transl
\jour Math. USSR-Sb.
\yr 1972
\vol 18
\issue 2
\pages 321--332
\crossref{https://doi.org/10.1070/SM1972v018n02ABEH001775}
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    • This publication is cited in the following 49 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Russian version PDF:281
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    References:48
     
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