Tower of the maximal abelian extensions of local fields and its application

doi:10.1007/s00229-009-0252-9

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	Tower of the maximal abelian extensions of local fields and its application
	Wei, Dasheng2 ; Xu, Fei 1,2
	2009-05-01
发表期刊	MANUSCRIPTA MATHEMATICA
ISSN	0025-2611
卷号	129 期号:1 页码:1-28
摘要	In this paper, we study the algebraic structure of principal units in the tower of the maximal abelian extensions of local fields of characteristic zero and the corresponding Galois groups at each level. As an application, we show the finiteness result for the number of coverings with a given degree of the maximal abelian extension of a local field in characteristic zero. The number of p-coverings for Q(p) is computed explicitly.
DOI	10.1007/s00229-009-0252-9
语种	英语
资助项目	NSFC[10671104] ; NSFC[10325105] ; NSFC[10531060]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000265082200001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8420
专题	数学所
通讯作者	Xu, Fei
作者单位	1.Capital Normal Univ, Sch Math, Beijing 100037, Peoples R China 2.CAS, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wei, Dasheng,Xu, Fei. Tower of the maximal abelian extensions of local fields and its application[J]. MANUSCRIPTA MATHEMATICA,2009,129(1):1-28.
APA	Wei, Dasheng,&Xu, Fei.(2009).Tower of the maximal abelian extensions of local fields and its application.MANUSCRIPTA MATHEMATICA,129(1),1-28.
MLA	Wei, Dasheng,et al."Tower of the maximal abelian extensions of local fields and its application".MANUSCRIPTA MATHEMATICA 129.1(2009):1-28.