首页> 中文期刊> 《数学年刊B辑(英文版) 》 >FORMAL GROUPS AND LOCAL CLASS FIELD THEORY

FORMAL GROUPS AND LOCAL CLASS FIELD THEORY

         

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.

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