Norm principle for even \(K\)-groups of number fields

DOI10.1007/s40840-022-01413-xOpenAlexW4309900143MaRDI QIDQ2107125

Meng Fai Lim

Publication date: 1 December 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.06482

zbMATH Keywords

norm principlenorm mapseven \(K\)-groupsfinite extensions of number fields

Mathematics Subject Classification ID

Computations of higher (K)-theory of rings (19D50) Relations of (K)-theory with cohomology theories (19E20) (K)-theory of global fields (11R70)

Cites Work

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• Hilbert's theorem 90 for \(K^ 2\), with application to the Chow groups of rational surfaces
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• \(K_ 2\)-analogs of Hasse's norm theorems
• On the K-theory of local fields
• An exact sequence for \(K^M_*/2\) with applications to quadratic forms
• K-théorie des anneaux d'entiers de corps de nombres et cohomologie etale
• A finiteness theorem for K\(_2\) of a number field
• On the cohomology and K-theory of the general linear groups over a finite field
• On the values of zeta and L-functions. I
• Higher algebraic K-theory: I
• Stable real cohomology of arithmetic groups
• A NORM PRINCIPLE IN HIGHER ALGEBRAIC K-THEORY
• The Norm Residue Theorem in Motivic Cohomology

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