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Galois fieldGalois theoryGalois groupGalois extensionPrimitive elementRoot fieldPerfect fieldField of fractionsAlgebraic closureField extensionNormal extensionDivision algebraExtension fieldField theorySolvable groupPresemifieldAlgebraic number fieldPolynomial basisPrime fieldNumber fieldField of quotientsStabilizer subgroupScalar fieldFixed setSplitting fieldSimple extensionLinear algebraic groupOrdered fieldLefschetz fixed-point theoremQuadratic fieldAlgebraic fundamental groupInvariant theoryAutotopismSemifieldCyclotomic fieldAlgebraic subvarietyField axiomQuasifieldAutomorphism groupAlgebraic extensionAffine groupCentral simple algebraTopological fieldField of scalarsField axiomsSeparable polynomialFixed pointCharacteristicNormal basisAlgebraic groupK-algebraPoint groupArchimedean ordered fieldCenterSeparable extensionNormal subgroupCosetPrimitive polynomialTorsion subgroupAffine varietyFixpointAbstract algebraPseudogroupResidue fieldProjective varietyModuleAnabelian geometryFrobenioidCompositumInclusion functionMinimal polynomialFactor ringAlternative algebraMatrix groupAlgebraSkew fieldFractional idealAlgebra over a fieldPermutation groupGeneral linear groupVector fieldTrivial groupInner automorphismBirational geometryGeometry of numbersStabilizerFrobenius endomorphismLeft idealSpecial linear groupFitting subgroupEuclidean groupTranslateLinear groupNullstellensatzDedekind domainSubringModern algebraFinite geometryAlgebraic structureExact sequence