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Mathematics of the USSR-Izvestiya, 1987, Volume 29, Issue 2, Pages 299–322
DOI: https://doi.org/10.1070/IM1987v029n02ABEH000971 (Mi im1542) 		 
This article is cited in 9 scientific papers (total in 10 papers)

The Hasse norm principle for algebraic number fields

Yu. A. Drakokhrust, V. P. Platonov
English version PDF (1211 kB) Citations (10) Russian version article
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DOI: https://doi.org/10.1070/IM1987v029n02ABEH000971
Abstract: The Hasse norm principle is studied for arbitrary extensions of algebraic number fields on the basis of an interpretation of the obstruction to the Hasse principle in terms of local and global Galois groups. One of the central results is the solution of Bartels' problem on the Hasse principle for subfields of finite-dimensional division rings.
Bibliography: 24 titles.
Received: 21.02.1986
Bibliographic databases:
UDC: 511.6
MSC: Primary 11R21, 11S15, 11S75; Secondary 11S25, 12G05
Language: English
Original paper language: Russian
Citation: Yu. A. Drakokhrust, V. P. Platonov, “The Hasse norm principle for algebraic number fields”, Math. USSR-Izv., 29:2 (1987), 299–322
Citation in format AMSBIB
\Bibitem{DraPla86}
\by Yu.~A.~Drakokhrust, V.~P.~Platonov
\paper The Hasse norm principle for algebraic number fields
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 2
\pages 299--322
\mathnet{http://mi.mathnet.ru//eng/im1542}
\crossref{https://doi.org/10.1070/IM1987v029n02ABEH000971}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=873656}
\zmath{https://zbmath.org/?q=an:0624.12009}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:615
    Russian version PDF:154
    English version PDF:47
    References:62
    First page:3
     
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