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- Takagi_existence_theorem abstract "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. It is called an existence theorem because a main burden of the proof is to show the existence of enough abelian extensions of K.".
- Takagi_existence_theorem wikiPageID "1099918".
- Takagi_existence_theorem wikiPageRevisionID "543870523".
- Takagi_existence_theorem hasPhotoCollection Takagi_existence_theorem.
- Takagi_existence_theorem subject Category:Class_field_theory.
- Takagi_existence_theorem subject Category:Theorems_in_algebraic_number_theory.
- Takagi_existence_theorem type Abstraction100002137.
- Takagi_existence_theorem type Communication100033020.
- Takagi_existence_theorem type Message106598915.
- Takagi_existence_theorem type Proposition106750804.
- Takagi_existence_theorem type Statement106722453.
- Takagi_existence_theorem type Theorem106752293.
- Takagi_existence_theorem type TheoremsInAbstractAlgebra.
- Takagi_existence_theorem type TheoremsInAlgebraicNumberTheory.
- Takagi_existence_theorem type TheoremsInNumberTheory.
- Takagi_existence_theorem comment "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. It is called an existence theorem because a main burden of the proof is to show the existence of enough abelian extensions of K.".
- Takagi_existence_theorem label "Takagi existence theorem".
- Takagi_existence_theorem label "Théorème d'existence de Takagi".
- Takagi_existence_theorem label "高木の存在定理".
- Takagi_existence_theorem sameAs Théorème_d'existence_de_Takagi.
- Takagi_existence_theorem sameAs 高木の存在定理.
- Takagi_existence_theorem sameAs m.045zv3.
- Takagi_existence_theorem sameAs Q3526993.
- Takagi_existence_theorem sameAs Q3526993.
- Takagi_existence_theorem sameAs Takagi_existence_theorem.
- Takagi_existence_theorem wasDerivedFrom Takagi_existence_theorem?oldid=543870523.
- Takagi_existence_theorem isPrimaryTopicOf Takagi_existence_theorem.