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Galois extensionFixed fieldAdelic algebraic groupGalois groupAlgebraic closureLinear groupAffine groupCovering groupAutomorphism groupGalois modulePermutation groupFundamental groupComplementAlgebraic function fieldAutomorphic formFinitely generated groupSymmetric groupEuclidean groupAlgebraic extensionInner automorphismClass field theoryAlgebraic groupGenerating set of a groupCentralizer and normalizerHomology groupNeukirch-uchida theoremProjective representationSeparable polynomialGalois cohomologySplitting fieldIsogenyIsometry groupCommutator subgroupRegular representationGroup actionLinear algebraic groupTranscendence degreeOrthogonal groupIdeal class groupResidually finite groupLattice of subgroupsSpecial linear groupMapping class groupBorel subgroupClass functionGroup of lie typeAdjoint representationCompact groupCayley's theoremProjective linear groupEquivariant cohomologyFundamental group schemeCharacteristic subgroupG-moduleGeneral linear groupStickelberger's theoremNormal subgroupPolynomial ringEquivariant sheafArithmetic groupGroup representationSymmetry groupConjugacy classGalois theoryGroup cohomologyCartan decompositionAlgebraic number fieldSubgroupHyperbolic groupGeometric group theoryExtension fieldAlgebraic topologyKleinian groupHomogeneous spaceSolvable groupGrothendieck groupFitting subgroupIndefinite orthogonal groupCosetGroup isomorphismSeparable extensionNormal extensionEdge-transitive graphBilinear formCongruence subgroupGroup with operatorsCyclic permutationProjective varietyGraph automorphismLocal fieldBialgebraAbelian varietyHomomorphismWitt groupField extensionField of setsCentral simple algebraInvariant theoryChain complexTopological group