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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 2, Pages 149–179
DOI: https://doi.org/10.1070/SM1982v041n02ABEH002227 (Mi sm2788) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Algorithmic questions for linear algebraic groups. I

R. A. Sarkisyan
English version PDF (2663 kB) Citations (3)
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DOI: https://doi.org/10.1070/SM1982v041n02ABEH002227
Abstract: Let $G$ be a linear algebraic group defined over the field of rational numbers and subject to certain conditions, let $G(\mathbf R)$ be its group of real points, and let $G(\mathbf Z,m)$ be a congruence-subgroup of its group of integer points. In this paper it is proved that, using a recursive procedure, one can construct a fundamental set of $G(\mathbf Z,m)$ in $G(\mathbf R)$. This result will be applied in the second part of the article.
Bibliography: 18 titles.
Received: 23.01.1979 and 29.12.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 113(155), Number 2(10), Pages 179–216
Bibliographic databases:
UDC: 519.41
MSC: Primary 20G30, 20G35; Secondary 03F65
Language: English
Original paper language: Russian
Citation: R. A. Sarkisyan, “Algorithmic questions for linear algebraic groups. I”, Mat. Sb. (N.S.), 113(155):2(10) (1980), 179–216; Math. USSR-Sb., 41:2 (1982), 149–179
Citation in format AMSBIB
\Bibitem{Sar80}
\by R.~A.~Sarkisyan
\paper Algorithmic questions for linear algebraic groups.~I
\jour Mat. Sb. (N.S.)
\yr 1980
\vol 113(155)
\issue 2(10)
\pages 179--216
\mathnet{http://mi.mathnet.ru/sm2788}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=594835}
\zmath{https://zbmath.org/?q=an:0478.20028|0446.20025}
\transl
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 2
\pages 149--179
\crossref{https://doi.org/10.1070/SM1982v041n02ABEH002227}
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    This publication is cited in the following 3 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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    Abstract page:294
    Russian version PDF:114
    English version PDF:13
    References:47
     
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