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arXiv · 2109.06482

Norm principle for even K-groups of number fields

Meng Fai Lim
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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.

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Meng Fai Lim. 2021-09-14. Norm principle for even K-groups of number fields. https://doi.org/10.1007/s40840-022-01413-x

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