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Mathematics of the USSR-Sbornik, 1974, Volume 22, Issue 2, Pages 271–303
DOI: https://doi.org/10.1070/SM1974v022n02ABEH001693 (Mi sm2973) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Stabilization for classical groups over rings

L. N. Vaserstein
English version PDF (1920 kB) Citations (20)
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DOI: https://doi.org/10.1070/SM1974v022n02ABEH001693
Abstract: The main goal of this paper is to prove theorems about stabilization for groups of automorphisms of modules over rings and modules with quadratic forms over rings with involutions, which allow us to describe the structure of all the classical arithmetic groups of rank greater than one. The presentation is made in such generality that our results generalize and strengthen many previously known results about transitivity and cancellation, about normal subgroups, etc.
Bibliography: 14 titles.
Received: 01.06.1971 and 01.10.1973
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1974, Volume 93(135), Number 2, Pages 268–295
Bibliographic databases:
UDC: 519.46
MSC: Primary 13C10, 18F25, 20G35; Secondary 10C30, 16A50
Language: English
Original paper language: Russian
Citation: L. N. Vaserstein, “Stabilization for classical groups over rings”, Mat. Sb. (N.S.), 93(135):2 (1974), 268–295; Math. USSR-Sb., 22:2 (1974), 271–303
Citation in format AMSBIB
\Bibitem{Vas74}
\by L.~N.~Vaserstein
\paper Stabilization for classical groups over rings
\jour Mat. Sb. (N.S.)
\yr 1974
\vol 93(135)
\issue 2
\pages 268--295
\mathnet{http://mi.mathnet.ru/sm2973}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=338208}
\zmath{https://zbmath.org/?q=an:0287.18015}
\transl
\jour Math. USSR-Sb.
\yr 1974
\vol 22
\issue 2
\pages 271--303
\crossref{https://doi.org/10.1070/SM1974v022n02ABEH001693}
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    • This publication is cited in the following 20 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
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    Abstract page:329
    Russian version PDF:123
    English version PDF:12
    References:55
     
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