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RepresentationMorphismIsomorphismUniversal propertyIsomorphism theoremsGroup isomorphismIsometryGeometric transformationGraph homomorphismEquivalence of categoriesCayley's theoremHomomorphismMeasurable functionAlgebra homomorphismHomographyInitial and terminal objectsCanonical mapDualityRing homomorphismEquivalence relationRepresentation theoryGermTransfer principleIsogenySymplectomorphismIncidence algebraOrder typeTopological propertyImageRepresentable functorHurewicz theoremCharacterizationStructureHomeomorphismExistence theoremEdge-transitive graphAutomorphismMonomorphismSymmetry groupNatural transformationMetrizable spaceModule homomorphismAffine groupGroup actionInjective functionRigid transformationAxiomatic systemProjectionTransitive relationSubmanifoldSurjective functionBirational geometrySymmetric groupSubcategoryMathematical proofPartition of a setEquivariant mapGraph theoryConjugacy classDerivationDistributive propertyGraph propertyGraph automorphismSymmetryLie algebra representationIsometry groupConcrete categoryEndomorphismMathematical structureMonoidSymmetric graphIntersectionClassIsogonal figureFundamental representationEquivalenceHomotopy theoryMatroidSimple homotopy theoryIdentityCongruence relationCommutative diagramFrobenius reciprocityQuotient categoryGraphIntersection theoryClosed graph theoremSymmetric spaceAxiom schema of replacementEquationElementModel of computationExact sequenceGroup homomorphismCoverConstructive proofAllegoryQuotientProjective geometryAnalytic function of a matrix