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Russian Mathematical Surveys, 1982, Volume 37, Issue 3, Pages 1–62
DOI: https://doi.org/10.1070/RM1982v037n03ABEH003230
(Mi rm3706)
 

This article is cited in 20 scientific papers (total in 21 papers)

The arithmetic theory of algebraic groups

V. P. Platonov
References:
Received: 25.01.1982
Bibliographic databases:
Document Type: Article
UDC: 511+513.6
Language: English
Original paper language: Russian
Citation: V. P. Platonov, “The arithmetic theory of algebraic groups”, Russian Math. Surveys, 37:3 (1982), 1–62
Citation in format AMSBIB
\Bibitem{Pla82}
\by V.~P.~Platonov
\paper The arithmetic theory of algebraic groups
\jour Russian Math. Surveys
\yr 1982
\vol 37
\issue 3
\pages 1--62
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\crossref{https://doi.org/10.1070/RM1982v037n03ABEH003230}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=659426}
\zmath{https://zbmath.org/?q=an:0502.20025|0513.20028}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1982RuMaS..37....1P}
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Linking options:
  • https://www.mathnet.ru/eng/rm3706
  • https://doi.org/10.1070/RM1982v037n03ABEH003230
  • https://www.mathnet.ru/eng/rm/v37/i3/p3
  • This publication is cited in the following 21 articles:
    1. Akinari Hoshi, Kazuki Kanai, Yamasaki Aiichi, “Norm one tori and Hasse norm principle, III: Degree 16 case”, Journal of Algebra, 2024  crossref
    2. V. P. Platonov, “New properties of arithmetic groups”, Russian Math. Surveys, 65:5 (2010), 951–975  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    3. Leonid Stern, “Equality of norm groups of subextensions of Sn(n⩽5) extensions of algebraic number fields”, Journal of Number Theory, 102:2 (2003), 257  crossref
    4. S. I. Adian, E. I. Zel'manov, G. A. Margulis, S. P. Novikov, A. S. Rapinchuk, L. D. Faddeev, V. I. Yanchevskii, “Vladimir Petrovich Platonov (on his 60th birthday)”, Russian Math. Surveys, 55:3 (2000), 601–610  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    5. A. A. Ryzhikov, V. I. Chernousov, “On the classification of the maximal arithmetic subgroups of simply connected groups”, Sb. Math., 188:9 (1997), 1385–1413  mathnet  crossref  crossref  mathscinet  zmath  isi
    6. B. Mazur, “On the passage from local to global in number theory”, Bull. Amer. Math. Soc., 29:1 (1993), 14  crossref
    7. M. Hazewinkel, Encyclopaedia of Mathematics, 1993, 123  crossref
    8. V. P. Platonov, A. S. Rapinchuk, “Abstract properties of S-arithmetic groups and the congruence s problem”, Russian Acad. Sci. Izv. Math., 40:3 (1993), 455–476  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    9. B Sury, “Congruence subgroup problem for anisotropic groups over semilocal rings”, Proc Math Sci, 101:2 (1991), 87  crossref  mathscinet  zmath  isi
    10. M. Burger, P. Sarnak, “Ramanujan duals II”, Invent Math, 106:1 (1991), 1  crossref
    11. V. P. Platonov, O. I. Tavgen', “Grothendieck's problem on profinite completions and representations of groups”, K-Theory, 4:1 (1990), 89  crossref  mathscinet  zmath
    12. A. P. Monastyrnyi, V. I. Yanchevskii, “Whitehead groups of spinor groups”, Math. USSR-Izv., 36:1 (1991), 61–100  mathnet  crossref  mathscinet  zmath  adsnasa
    13. O. I. Tavgen', “Bounded generation of Chevalley groups over rings of algebraic S-integers”, Math. USSR-Izv., 36:1 (1991), 101–128  mathnet  crossref  mathscinet  zmath  adsnasa
    14. A. A. Bondarenko, “On the problem of the maximality of arithmetic subgroups of indefinite orthogonal groups of type (Dl)”, Math. USSR-Sb., 69:2 (1991), 417–430  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    15. Alexander J. Hahn, O. Timothy O'Meara, Grundlehren der mathematischen Wissenschaften, 291, The Classical Groups and K-Theory, 1989, 139  crossref
    16. M. V. Borovoi, “The abstract simplicity of groups of type Dn over number fields”, Russian Math. Surveys, 43:5 (1988), 213–214  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    17. A. S. Rapinchuk, “Multiplicative arithmetic of division algebras over number fields, and the metaplectic problem”, Math. USSR-Izv., 31:2 (1988), 349–379  mathnet  crossref  mathscinet  zmath
    18. N. V. Ivanov, “Complexes of curves and the Teichmüller modular group”, Russian Math. Surveys, 42:3 (1987), 55–107  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    19. Yu. A. Drakokhrust, V. P. Platonov, “The Hasse norm principle for algebraic number fields”, Math. USSR-Izv., 29:2 (1987), 299–322  mathnet  crossref  mathscinet  zmath
    20. Yu. I. Manin, M. A. Tsfasman, “Rational varieties: algebra, geometry and arithmetic”, Russian Math. Surveys, 41:2 (1986), 51–116  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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