| FORMAL GROUPS AND LOCAL CLASS FIELD THEORY |
| |
| 作者姓名： | Li Delang |
| |
| 作者单位： | Department of |
| |
| 基金项目： | The Project Supported by National Natural Science Foundation of China. |
| |
| 摘 要： | The purpose of this paper is to prove that every abelian extenison of a local field can be embedded into certain generalized Lubin-Tate extensions. As a consequence of the embedding theorem, a new proof of local class field theory is given, which looks more intuitive than Galois cohomology. Also the author gets a necessary and sufficient condition for a totally ramified extension of degree p to be normal in terms of the coefficients of its definition equation.
|
| 收稿时间： | 1986/10/13 0:00:00 |
| 修稿时间： | 4/1/1987 12:00:00 AM |
FORMAL GROUPS AND LOCAL CLASS
FIELD THEORY |
| |
| Li Delang.FORMAL GROUPS AND LOCAL CLASS FIELD THEORY[J].Chinese Annals of Mathematics,Series B,1989,10(2):241-260. |
| |
| Authors: | Li Delang |
| |
| Institution: | Department of Mathematics, Sichuan University, Chengdu, Sichuan, China. |
| |
| Abstract: | The purpose of this paper is to prove that every abelian extension of a local field can be embedded into certain generalized Lubin-Tate extensions. As a consequence of the embedding theorem, a new proof of local class field theory is given, which looks more intuitive than Galois cohomology. Also the author gets a necessary and sufficient condition for a totally ramified extension of degree p to be normal in terms of the coefficients of its definition equation. |
| |
| Keywords: | |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 |
