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Concept information

number > number theory > algebraic number theory > Galois module
... > algebra > abstract algebra > algebraic structure > field > Galois theory > Galois module

Terme préférentiel

Galois module  

Définition(s)

  • In mathematics, a Galois module is a G-module, with G being the Galois group of some extension of fields. The term Galois representation is frequently used when the G-module is a vector space over a field or a free module over a ring in representation theory, but can also be used as a synonym for G-module. The study of Galois modules for extensions of local or global fields and their group cohomology is an important tool in number theory.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Galois_module)

Concept(s) générique(s)

Synonyme(s)

  • Galois representation

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-DJCHBGC5-X

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RDF/XML TURTLE JSON-LD Date de création 17/08/2023, dernière modif. 22/09/2023