Concept information
Preferred term
class field theory
Definition(s)
-
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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Class_field_theory)
Broader concept(s)
Narrower concept(s)
- adele ring
- Albert-Brauer-Hasse-Noether theorem
- Brauer group
- class formation
- complex multiplication
- Ferrero-Washington theorem
- field of p-adic numbers
- Golod-Shafarevich theorem
- Greenberg's conjecture
- Grunwald-Wang theorem
- Hasse norm theorem
- Hilbert class field
- Hilbert symbol
- Iwasawa theory
- Langlands-Deligne local constant
- Langlands program
- Leopoldt's conjecture
- local class field theory
- principal ideal theorem
- quasi-finite field
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-KW18QTZJ-7
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