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Zapiski Nauchnykh Seminarov LOMI, 1979, Volume 86, Pages 125–134 (Mi znsl1827)  
Finite galois modules

A. F. Kryuchkov
Full-text PDF (904 kB)
Abstract: A single general formula is given for the weak approximation in algebraic tori over global fields. We calculate the first cohomology group for the torus of an embedding problem of fields with Abelian kernel, the coefficients being the Picard group of a nonsingular projective model of the torus. The Tamagawa numbers of a certain class of reductive groups are calculated.
English version:
Journal of Soviet Mathematics, 1981, Volume 17, Issue 4, Pages 2032–2039
DOI: https://doi.org/10.1007/BF01465460
Bibliographic databases:
UDC: 512.6
Language: Russian
Citation: A. F. Kryuchkov, “Finite galois modules”, Algebraic numbers and finite groups, Zap. Nauchn. Sem. LOMI, 86, "Nauka", Leningrad. Otdel., Leningrad, 1979, 125–134; J. Soviet Math., 17:4 (1981), 2032–2039
Citation in format AMSBIB
\Bibitem{Kry79}
\by A.~F.~Kryuchkov
\paper Finite galois modules
\inbook Algebraic numbers and finite groups
\serial Zap. Nauchn. Sem. LOMI
\yr 1979
\vol 86
\pages 125--134
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1827}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=535485}
\zmath{https://zbmath.org/?q=an:0491.14020|0456.14024}
\transl
\jour J. Soviet Math.
\yr 1981
\vol 17
\issue 4
\pages 2032--2039
\crossref{https://doi.org/10.1007/BF01465460}
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