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- Q3526993 subject Q15206900.
- Q3526993 subject Q9943692.
- Q3526993 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.".
- Q3526993 wikiPageWikiLink Q1358313.
- Q3526993 wikiPageWikiLink Q1497184.
- Q3526993 wikiPageWikiLink Q15206900.
- Q3526993 wikiPageWikiLink Q1744580.
- Q3526993 wikiPageWikiLink Q225527.
- Q3526993 wikiPageWikiLink Q2694495.
- Q3526993 wikiPageWikiLink Q2916820.
- Q3526993 wikiPageWikiLink Q3077416.
- Q3526993 wikiPageWikiLink Q318705.
- Q3526993 wikiPageWikiLink Q361.
- Q3526993 wikiPageWikiLink Q372466.
- Q3526993 wikiPageWikiLink Q41585.
- Q3526993 wikiPageWikiLink Q428290.
- Q3526993 wikiPageWikiLink Q451721.
- Q3526993 wikiPageWikiLink Q476959.
- Q3526993 wikiPageWikiLink Q525964.
- Q3526993 wikiPageWikiLink Q57283.
- Q3526993 wikiPageWikiLink Q61768.
- Q3526993 wikiPageWikiLink Q68514.
- Q3526993 wikiPageWikiLink Q703577.
- Q3526993 wikiPageWikiLink Q730384.
- Q3526993 wikiPageWikiLink Q852757.
- Q3526993 wikiPageWikiLink Q860611.
- Q3526993 wikiPageWikiLink Q912083.
- Q3526993 wikiPageWikiLink Q9943692.
- Q3526993 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.".
- Q3526993 label "Takagi existence theorem".