Algebraic K-theory and the norm-residue homomorphism

A. A. Suslin

Research output: Contribution to journalArticlepeer-review

45 Scopus citations

Abstract

Recent results on the structure of the group K2 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 Rn,F:K2(F)/nK2(F)nBr(F). Algebrogeometric applications of the main results are presented.

Original languageEnglish (US)
Pages (from-to)2556-2611
Number of pages56
JournalJournal of Soviet Mathematics
Volume30
Issue number6
DOIs
StatePublished - Sep 1 1985

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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