Tower of the maximal abelian extensions of local fields and its application
文献类型：期刊论文
| 作者 | Wei, Dasheng2 ; Xu, Fei1,2
|
| 刊名 | MANUSCRIPTA MATHEMATICA
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000265082200001 |
| 出版者 | SPRINGER |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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