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Norm Principle for Even K-groups of Number Fields

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成果类型:
期刊论文
作者:
Lim, Meng Fai
通讯作者:
Meng Fai Lim
作者机构:
[Lim, Meng Fai] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Lim, Meng Fai] Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China.
通讯机构:
[Meng Fai Lim] S
School of Mathematics and Statistics and Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, People’s Republic of China
语种:
英文
关键词:
Norm principle;Norm maps;Even K-groups;Finite extensions of number fields
期刊:
Bulletin of the Malaysian Mathematical Sciences Society
ISSN:
0126-6705
年:
2023
卷:
46
期:
1
页码:
1-9
基金类别:
The author likes to thank the anonymous referees for the many helpful comments and suggestions. This research is supported by the National Natural Science Foundation of China under Grant No. 11771164 and the Fundamental Research Funds for the Central Universities of CCNU under grant CCNU20TD002.
机构署名:
本校为第一机构
院系归属:
数学与统计学学院
摘要:
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 ...

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