Galois theory
In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing to group theory certain problems in field theory; this makes them simpler in some sense, and allows a better understanding. Galois' work was published fourteen years after his death by Joseph Liouville. The theory took longer to become popular among mathematicians and to be well understood. Galois theory has been generalized to Galois connections and Grothendieck's Galois theory.
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1832 in scienceAbelian groupAbel–Ruffini theoremAdjoint functorsAlex F. T. W. RosenbergAlexander GrothendieckAlexandre-Théophile VandermondeAlgebraAlgebra and TilingAlgebraic curveAlgebraic equationAlgebraic numberAlgebraic solutionAlgebraic structureAlternating groupAndré JoyalAngle trisectionAnna Johnson Pell WheelerAreas of mathematicsArthur Byron CobleArthur MilgramArtin–Schreier theoryAskold KhovanskiiAxiomBiquadratic fieldBudapest Semesters in MathematicsCamille JordanChain complexClosed-form expressionComplex numberConstructible polygonCosetCubic equationCyclic groupDavid Emmanuel (mathematician)David HarbaterDegree of a field extensionDepth of noncommutative subringsDifferential Galois theoryDmitry Grave
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Galois theory
In mathematics, Galois theory, originally introduced by Évariste Galois, provides a connection between field theory and group theory. This connection, the fundamental theorem of Galois theory, allows reducing to group theory certain problems in field theory; this makes them simpler in some sense, and allows a better understanding. Galois' work was published fourteen years after his death by Joseph Liouville. The theory took longer to become popular among mathematicians and to be well understood. Galois theory has been generalized to Galois connections and Grothendieck's Galois theory.
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Dalam matematika, Teori Galois ...... igeneralisasikan menjadi dan .
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De galoistheorie is een tak va ...... mene vijfdegraadsvergelijking.
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Die Galoistheorie ist ein Teil ...... “ (Der Satz von Abel-Ruffini).
@de
Em matemática, Teoria de Galoi ...... teoria das conexões de Galois.
@pt
En matematiko, la teorio de Ga ...... matematikisto Évariste Galois.
@eo
En matemàtiques, la teoria de ...... 32), mort a l'edat de 20 anys.
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En matemáticas, la teoría de G ...... ariste Galois.[cita requerida]
@es
En mathématiques et plus préci ...... théorème des zéros de Hilbert.
@fr
In matematica, la teoria di Ga ...... ttengono con la teoria delle .
@it
In mathematics, Galois theory, ...... Grothendieck's Galois theory.
@en
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@en
title
Galois theory
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subject
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comment
Dalam matematika, Teori Galois ...... igeneralisasikan menjadi dan .
@in
De galoistheorie is een tak va ...... polynoom zelf invariant laten.
@nl
Die Galoistheorie ist ein Teil ...... ihrer Galoisgruppe untersucht.
@de
Em matemática, Teoria de Galoi ...... teoria das conexões de Galois.
@pt
En matematiko, la teorio de Ga ...... matematikisto Évariste Galois.
@eo
En matemàtiques, la teoria de ...... 32), mort a l'edat de 20 anys.
@ca
En matemáticas, la teoría de G ...... ariste Galois.[cita requerida]
@es
En mathématiques et plus préci ...... rie de Galois des revêtements.
@fr
In matematica, la teoria di Ga ...... ttengono con la teoria delle .
@it
In mathematics, Galois theory, ...... Grothendieck's Galois theory.
@en
label
Galois theory
@en
Galoisteori
@sv
Galoistheorie
@de
Galoistheorie
@nl
Teori Galois
@in
Teoria Galois
@pl
Teoria de Galois
@ca
Teoria de Galois
@pt
Teoria di Galois
@it
Teorio de Galois
@eo