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Mathematics of the USSR-Sbornik, 1982, Volume 41, Issue 3, Pages 329–359
DOI: https://doi.org/10.1070/SM1982v041n03ABEH002236 (Mi sm2803) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Algorithmic questions for linear algebraic groups. II

R. A. Sarkisyan
English version PDF (2584 kB) Citations (5)
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DOI: https://doi.org/10.1070/SM1982v041n03ABEH002236
Abstract: It is proved that, given a linear algebraic group defined over an algebraic number field and satisfying certain conditions, there exists an algorithm which determines whether or not two double cosets of a special type coincide in its adele group, and which enumerates all such double cosets. This result is applied to the isomorphism problem for finitely generated nilpotent groups, and also to other problems.
Bibliography: 18 titles.
Received: 28.12.1979
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1980, Volume 113(155), Number 3(11), Pages 400–436
Bibliographic databases:
UDC: 519.4
MSC: Primary 20G30, 20G35; Secondary 03F65
Language: English
Original paper language: Russian
Citation: R. A. Sarkisyan, “Algorithmic questions for linear algebraic groups. II”, Math. USSR-Sb., 41:3 (1982), 329–359
Citation in format AMSBIB
\Bibitem{Sar80}
\by R.~A.~Sarkisyan
\paper Algorithmic questions for linear algebraic groups.~II
\jour Math. USSR-Sb.
\yr 1982
\vol 41
\issue 3
\pages 329--359
\mathnet{http://mi.mathnet.ru//eng/sm2803}
\crossref{https://doi.org/10.1070/SM1982v041n03ABEH002236}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=601888}
\zmath{https://zbmath.org/?q=an:0478.20029|0459.20037}
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  • https://www.mathnet.ru/eng/sm/v155/i3/p400
    Cycle of papers
    This publication is cited in the following 5 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:378
    Russian version PDF:120
    English version PDF:24
    References:80
     
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