Galois module
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.
known for
Albrecht FröhlichAlgebraic number theoryAlgebraic torusAna CaraianiArithmetic geometryArithmetic of abelian varietiesArtin L-functionB-admissible representationCatalan's conjectureChandrashekhar KhareChristopher SkinnerClay Research AwardCohomological invariantCompatible system of ℓ-adic representationsConsani–Scholten quinticDeformation ringDirichlet's unit theoremDwork conjectureE. H. MooreEknath Prabhakar GhateElliptic curveFermat PrizeField (mathematics)Fields MedalFontaine's period ringsFontaine–Mazur conjectureFred DiamondGalois cohomologyGalois groupGalois modulesGalois representationGalois representationsGlossary of areas of mathematicsGlossary of arithmetic and diophantine geometryGlossary of module theoryGoro ShimuraGroup schemeHasse–Weil zeta functionHilbert's twelfth problemHilbert–Speiser theorem
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Galois module
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.
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En matemáticas, y particularme ...... ase ideal (que conduce a la ).
@es
In mathematics, a Galois modul ...... portant tool in number theory.
@en
Inom matematiken är en Galoism ...... viktigt område inom talteori.
@sv
La théorie des représentations ...... s groupes de Galois eux-mêmes.
@fr
数学において、ガロワ加群 (Galois module) は ...... 体の拡大のガロワ加群の研究は数論において重要なツールである。
@ja
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En matemáticas, y particularme ...... e Galois finita L/K de campos.
@es
In mathematics, a Galois modul ...... portant tool in number theory.
@en
Inom matematiken är en Galoism ...... viktigt område inom talteori.
@sv
La théorie des représentations ...... s groupes de Galois eux-mêmes.
@fr
数学において、ガロワ加群 (Galois module) は ...... 体の拡大のガロワ加群の研究は数論において重要なツールである。
@ja
label
Galois module
@en
Galoismodul
@sv
Módulo de Galois
@es
Représentation galoisienne
@fr
ガロワ加群
@ja
갈루아 모듈
@ko