High Quality Content by WIKIPEDIA articles! 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.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.