Concept information
Término preferido
class field theory
Definición
-
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)
Concepto genérico
Conceptos específicos
- 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 program
- Langlands-Deligne local constant
- Leopoldt's conjecture
- local class field theory
- principal ideal theorem
- quasi-finite field
En otras lenguas
-
francés
URI
http://data.loterre.fr/ark:/67375/PSR-KW18QTZJ-7
{{label}}
{{#each values }} {{! loop through ConceptPropertyValue objects }}
{{#if prefLabel }}
{{/if}}
{{/each}}
{{#if notation }}{{ notation }} {{/if}}{{ prefLabel }}
{{#ifDifferentLabelLang lang }} ({{ lang }}){{/ifDifferentLabelLang}}
{{#if vocabName }}
{{ vocabName }}
{{/if}}