skip to main content
LOTERRE

LOTERRE

Mathematics (thesaurus)

Search from vocabulary

Content language

| español français
Search help

Concept information

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

Preferred term

Galois module  

Definition(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)

Broader concept(s)

Synonym(s)

  • Galois representation

In other languages

URI

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

Download this concept:

RDF/XML TURTLE JSON-LD Created 8/17/23, last modified 9/22/23