R. A. Sarkisyan, “Algorithmic questions for linear algebraic groups. II”, Math. USSR-Sb., 41:3 (1982), 329

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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) Russian version article

References:

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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

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}

Linking options:

https://www.mathnet.ru/eng/sm2803

https://doi.org/10.1070/SM1982v041n03ABEH002236

https://www.mathnet.ru/eng/sm/v155/i3/p400

Cycle of papers

Algorithmic questions for linear algebraic groups. I
R. A. Sarkisyan
Mat. Sb. (N.S.), 1980, 113(155):2(10), 179–216
Algorithmic questions for linear algebraic groups. II
R. A. Sarkisyan
Mat. Sb. (N.S.), 1980, 113(155):3(11), 400–436

This publication is cited in the following 5 articles:

V. A. Roman'kov, “Positive elements and sufficient conditions for solvability of the submonoid membership problem for nilpotent groups of class two”, Sib. elektron. matem. izv., 19:1 (2022), 387–403
V. A. Roman'kov, “Algorithmic theory of solvable groups”, PDM, 2021, no. 52, 16–64
S. I. Adian, V. G. Durnev, “Decision problems for groups and semigroups”, Russian Math. Surveys, 55:2 (2000), 207–296
I. A. Bublichenko, A. V. Lebedev, “Influence of interference of comparable beams on readings of a two-beam laser photometer”, Meas Tech, 32:4 (1989), 294
V. P. Platonov, “The arithmetic theory of algebraic groups”, Russian Math. Surveys, 37:3 (1982), 1–62

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	417
Russian version PDF:	129
English version PDF:	31
References:	88

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