Norm principle for even K-groups of number fields

Abstract

We investigate the norm maps of algebraic even $K$-groups of finite extensions of number fields. Namely, we show that they are surjective in most situations. In the event that they are not surjective, we give a criterion in determining when an element in the even $K$-group of the base field comes from a norm of an element from the even $K$-groups of the extension field. This latter criterion is only reliant on the real primes of the base field.

Slight change in Title and abstract as recommended by referees (basically replace "$K_{2n}$" by "even K-groups"); some minor corrections and changes in the body of the paper

References in corpus (1)

• An exact sequence for Milnor's K-theory with applications to quadratic forms