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
刊名	MANUSCRIPTA MATHEMATICA
	2009-05-01
卷号	129 期号:1 页码:1-28
ISSN号	0025-2611
DOI	10.1007/s00229-009-0252-9
英文摘要	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.
资助项目	NSFC[10671104] ; NSFC[10325105] ; NSFC[10531060]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000265082200001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/8419]
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.