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 language||English (US)|
|Number of pages||56|
|Journal||Journal of Soviet Mathematics|
|State||Published - Sep 1 1985|
ASJC Scopus subject areas
- Statistics and Probability
- Applied Mathematics