Li Delang.FORMAL GROUPS AND LOCAL CLASSFIELD THEORY[J].Chinese Annals of Mathematics B,1989,10(2):241~260
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Authors：
Li Delang;
Foundation：
The Project Supported by National Natural Science Foundation of 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.
