Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1984, Volume 25, Pages 115–207 (Mi intd76)  
This article is cited in 48 scientific papers (total in 48 papers)

Algebraic $K$-theory and the norm residue homomorphism

A. A. Suslin
Full-text PDF (4998 kB) Citations (48)
Abstract: Recent results on the structure of the group $K_2$ of a field and its connections with the Brauer group are presented. The $K$-groups of Severi–Brauer varieties and simple algebras are computed. A proof is given of Milnor's conjecture that for any field $F$ and natural number $n>1$ there is the isomorphism $R_{n,F}\colon K_2(F)/nK_2(F)\overset\sim\to_n\mathrm{Br}(F)$. Algebrogeometric applications of the main results are presented.
English version:
Journal of Soviet Mathematics, 1985, Volume 30, Issue 6, Pages 2556–2611
DOI: https://doi.org/10.1007/BF02249123
Bibliographic databases:
UDC: 512.667.3
Language: Russian
Citation: A. A. Suslin, “Algebraic $K$-theory and the norm residue homomorphism”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 25, VINITI, Moscow, 1984, 115–207; J. Soviet Math., 30:6 (1985), 2556–2611
Citation in format AMSBIB
\Bibitem{Sus84}
\by A.~A.~Suslin
\paper Algebraic $K$-theory and the norm residue homomorphism
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1984
\vol 25
\pages 115--207
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd76}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=770942}
\zmath{https://zbmath.org/?q=an:0566.12016|0558.12013}
\transl
\jour J. Soviet Math.
\yr 1985
\vol 30
\issue 6
\pages 2556--2611
\crossref{https://doi.org/10.1007/BF02249123}
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    • This publication is cited in the following 48 articles:
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