Takagi existence theorem

（重定向自Generalized ideal class group）

In class field theory, the Takagi existence theorem states that for any number field K there is a one-to-one inclusion reversing correspondence between the finite abelian extensions of K (in a fixed algebraic closure of K) and the generalized ideal class groups defined via a modulus of K.

单词	Generalized ideal class group
释义	Generalized ideal class group 英语百科 Takagi existence theorem （重定向自Generalized ideal class group） In class field theory, the Takagi existence theorem states that for any number field K there is a one-to-one inclusion reversing correspondence between the finite abelian extensions of K (in a fixed algebraic closure of K) and the generalized ideal class groups defined via a modulus of K.
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