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HomomorphismSymmetric groupGroupGenerating set of a groupCongruence relationGroup actionConjugacy classIsometry groupIsogenyBijectionMorphismPermutation groupGroup with operatorsAlgebraic groupGraph homomorphismGroup homomorphismAffine groupEuclidean groupInner automorphismSymmetry groupFundamental groupRepresentation theoremExact sequenceCharacter theoryAlgebra homomorphismNatural transformationIsomorphismHomographyMonoidCompact groupCoverIsometryGroup representationLinear algebraic groupProjective representationEquivalence of categoriesCayley's theoremLattice of subgroupsOrder typeGroup cohomologyCovering groupNormal subgroupDirect product of groupsIsomorphism theoremsDouble cosetCommutator subgroupCongruence subgroupGeometric transformationClass functionSemigroupModule homomorphismRing homomorphismEdge-transitive graphAbelian groupEquivariant sheafGalois connectionOrthogonal groupInvariant theoryRepresentable functorInjective functionAdjoint representationProjectionMapping class groupEquivariant cohomologyDistributionLie algebra representationGalois groupLinear groupFinitely generated groupGraph automorphismCanonical mapOne-parameter groupGroup ringInitial and terminal objectsGroup extensionPushforwardArithmetic groupDualityGroupoidRegular representationSubcategoryOperatorAutomorphism groupHomeomorphismMeasurable functionSymplectomorphismSemigroup actionConcrete categoryGraph homologyCharacteristic subgroupCharacter tableTranspose of a linear mapInclusion mapRepresentationLength functionGroup schemeFaithful representationMonomorphismCohomologyCayley graph