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Mathematics of the USSR-Izvestiya, 1976, Volume 10, Issue 2, Pages 211–243
DOI: https://doi.org/10.1070/IM1976v010n02ABEH001686 (Mi im2107) 		 
This article is cited in 33 scientific papers (total in 34 papers)

The Tannaka–Artin problem and reduced $K$-theory

V. P. Platonov
English version PDF (1664 kB) Citations (34) Russian version article
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DOI: https://doi.org/10.1070/IM1976v010n02ABEH001686
Abstract: We solve the old Tannaka–Artin problem, which states the following in modern terminology: is the reduced Whitehead group $SK_1(A)$ of a finite-dimensional division algebra $A$ trivial?
We work out a method for computing the group $SK_1(A)$ based on a reduction to the computation of a group of special protective conorms – a new object in field theory – and we discover unexpected connections with number theory.
Bibliography: 23 titles.
Received: 27.06.1975
Bibliographic databases:
UDC: 513.6
MSC: Primary 16A40, 12A65, 12A80; Secondary 16A18, 16A54, 12A60, 12F25
Language: English
Original paper language: Russian
Citation: V. P. Platonov, “The Tannaka–Artin problem and reduced $K$-theory”, Math. USSR-Izv., 10:2 (1976), 211–243
Citation in format AMSBIB
\Bibitem{Pla76}
\by V.~P.~Platonov
\paper The Tannaka--Artin problem and reduced $K$-theory
\jour Math. USSR-Izv.
\yr 1976
\vol 10
\issue 2
\pages 211--243
\mathnet{http://mi.mathnet.ru//eng/im2107}
\crossref{https://doi.org/10.1070/IM1976v010n02ABEH001686}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=407082}
\zmath{https://zbmath.org/?q=an:0338.16005}
Linking options:
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  • https://doi.org/10.1070/IM1976v010n02ABEH001686
  • https://www.mathnet.ru/eng/im/v40/i2/p227
    Remarks
    This publication is cited in the following 34 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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