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Galois groupGalois theorySeparable extensionGalois fieldNormal extensionAlgebraic extensionFixed fieldSimple extensionField extensionExtension fieldAlgebraic closureSplitting fieldSolvable groupRoot fieldDivision algebraNormal basisPrimitive elementPolynomial basisGalois connectionFrobenioidK-algebraAlgebraic fundamental groupQuadratic fieldGaloisSeparable polynomialAlgebraic number fieldAlgebraic groupGeneral linear groupLinear algebraic groupSpecial linear groupAutomorphism groupOrthogonal groupGroup theoryConjugateSuperextensionEuclidean domainCompositumAnabelian geometryAdditive groupAlgebra over a fieldInvariant theoryModuleAlternative algebraField of quotientsTranscendence degreeEuclidean groupAbelian groupNumber fieldCentral simple algebraConservative extensionFrobenius endomorphismFactor ringNormalizerField of fractionsPermutation groupAbstract algebraCyclotomic fieldComposition algebraSuperrigiditySuperalgebraAlgebraic number theoryAssociative algebraWeyl algebraUnique factorization ringHomological algebraSupergeometryAlgebraSporadic groupNeukirch-uchida theoremExact sequenceField theoryGroup actionNoetherian ringOrdered fieldAbelian algebraNoetherian moduleTopological fieldDegreeAbelianizationGrothendieck groupAffine groupGroup functorJordan algebraGelfond-schneider theoremNormal subgroupModern algebraKan extensionArithmetic geometryPerfect fieldAlgebraic graph theoryExtended euclidean algorithmSylvester-gallai theoremCommutative algebraAlgebraic functionSimple algebraHomomorphismSymplectic groupTorsion subgroupSuperbialgebraGroup ring