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Representation theoremHurewicz theoremLefschetz hyperplane theoremNewton's identitiesAlgebraic number theoryIsometryGroup isomorphismNoether's second theoremGroup cohomologyIntersection theoryFundamental groupSubcategoryIsometry groupBiquaternionMorphismClass field theoryHomographyEquivalence of categoriesQuadratic reciprocitySimple homotopy theoryBirational geometryGraph homologyAlgebra of setsQuotientLie algebra representationIsogenyHomeomorphismTopological propertyHom functorEuclidean groupAlgebraic combinatoricsUniversal propertyModel categoryAlgebra homomorphismRelative homologyEquivariant cohomologyRepresentation theoryHomotopy theoryCommutator subgroupCayley's theoremCoherent sheafCartan decompositionNatural transformationArithmetic groupHomological algebraConjugacy classOutline of category theoryBounded inverse theoremArchimedean propertySymplectomorphismAffine groupPythagorean trigonometric identityDualitySimons' formulaCanonical mapTheory of equationsInvariant theoryLimitMonoidHilbert's basis theoremProjective geometryCommutative algebraCombinatorial speciesLefschetz fixed-point theoremPrimary decompositionGroup representationMusical isomorphismRigid transformationQuotient categoryMatrix analysisGalois cohomologyDual quaternionGraph theoryEquivalence relationBasic hypergeometric seriesClosed-subgroup theoremGeometric topologyRepresentationProductTransformation geometrySchur polynomialLinear algebraic groupCongruence relationSylow theoremsMapping class groupGeometric transformationHilbert's nullstellensatzClosed graph theoremPrime elementMathematicsRing theoryHomomorphismAdjoint functorsStable homotopy theoryHomotopy groupTrigonometric functionsDouble cosetHomotopy groups of spheresGeneral topologySymmetric group