Norm principle for even K-groups of number fields
Number Theory
2022-11-29 v2
Abstract
We investigate the norm maps of algebraic even -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 -group of the base field comes from a norm of an element from the even -groups of the extension field. This latter criterion is only reliant on the real primes of the base field.
Keywords
Cite
@article{arxiv.2109.06482,
title = {Norm principle for even K-groups of number fields},
author = {Meng Fai Lim},
journal= {arXiv preprint arXiv:2109.06482},
year = {2022}
}
Comments
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