Search for "Class field theory" in article titles:

1. Class field theory: In algebraic number theory, class field theory studies the abelian extensions of an algebraic number field, or more generally a global field or local field. [100%] 2023-06-10
2. Class field theory: The theory that gives a description of all Abelian extensions (finite Galois extensions having Abelian Galois groups) of a field $ K $ that belongs to one of the following types: 1) $ K $ is an algebraic number field, i.e. a finite ... (Mathematics) [100%] 2023-11-07
3. Class field theory: In mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions of local and global fields using objects associated to the ground field. Hilbert is credited as ... (Branch of algebraic number theory concerned with abelian extensions) [100%] 2024-07-30 [Class field theory]
4. Class field theory: In mathematics, class field theory (CFT) is the fundamental branch of algebraic number theory whose goal is to describe all the abelian Galois extensions of local and global fields using objects associated to the ground field. Hilbert is credited as ... (Branch of algebraic number theory concerned with abelian extensions) [100%] 2025-06-08 [Class field theory]
5. Geometric class field theory: In mathematics, geometric class field theory is an extension of class field theory to higher-dimensional geometrical objects: much the same way as class field theory describes the abelianization of the Galois group of a local or global field, geometric ... [86%] 2023-07-07 [Class field theory] [Algebraic geometry]...
6. Local class field theory: In mathematics, local class field theory, introduced by Helmut Hasse, is the study of abelian extensions of local fields; here, "local field" means a field which is complete with respect to an absolute value or a discrete valuation with a ... [86%] 2024-08-23 [Class field theory]
7. Non-abelian class field theory: In mathematics, non-abelian class field theory is a catchphrase, meaning the extension of the results of class field theory, the relatively complete and classical set of results on abelian extensions of any number field K, to the general Galois ... [77%] 2024-08-01 [Class field theory]