On tame kernels and second regulators of number fields and their subfields

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• 作者：Chaochao Sun^a ; Kejian Xu^b ; ^{kejianxu@amss.ac.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Number field ; Second regulator ; Brauer&ndash ; Kuroda relation ; Tame kernel ; Dihedral group
• 刊名：Journal of Number Theory
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：171
• 期：Complete
• 页码：252-274
• 全文大小：405 K

文摘

The relations between the tame kernels and second regulators of a number field F   Galois over ee2d8345a08cfcf2499083ea15b51df1" title="Click to view the MathML source">Q$\mathbb{Q}$, in particular the fields of degree 8 over ee2d8345a08cfcf2499083ea15b51df1" title="Click to view the MathML source">Q$\mathbb{Q}$, and of some of its subfields are investigated through the action of the Galois groups on the tame kernels. In the case of the number fields with Galois group D_2p$D_{2p}$, a result of Browkin and Gangl is improved.