Formal groups and local class field theory (Q750518)
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scientific article; zbMATH DE number 4175085
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Formal groups and local class field theory |
scientific article; zbMATH DE number 4175085 |
Statements
Formal groups and local class field theory (English)
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1989
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The author proves that every totally ramified abelian extension of a local field K can be embedded into Lubin-Tate extensions \(L_{\pi,m}\) iff \(\pi\) lies in the norm from L. And every abelian extension of K can be embedded into certain generalized Lubin-Tate extensions. Via this, a new proof of local class field theory is given. Also the author gets a necessary and sufficient condition for a totally ramified extension of degree p to be normal.
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formal group
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abelian extension
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Lubin-Tate extensions
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local class field theory
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