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Euclidean groupIsometryOrthogonal groupSymmetric groupAffine groupPermutation groupGroup actionSymmetry groupAutomorphism groupSymmetric spaceGroupGroup isomorphismCompact groupIsogenyCovering groupFundamental groupGeometric transformationRigid transformationConformal groupMapping class groupLattice of subgroupsSpecial linear groupMeasurable functionPicard groupIndefinite orthogonal groupTopological groupLinear algebraic groupCategory of topological spacesGroup representationBraid groupHomeomorphismGenerating set of a groupRegular representationHomographyWeyl groupEquivariant cohomologyMetrizable spaceCongruence subgroupAlgebraic groupCommutator subgroupKleinian groupBorel setHomomorphismGeneral linear group3d rotation groupRepresentationComplex lie groupSymplectomorphismArithmetic groupMetric spaceTransformation geometryProjective unitary groupLorentz groupEuclidean topologyMetricTensor product of representationsMorphismInclusion mapSubmanifoldGraph of a functionBijectionCayley's theoremEuclidean plane isometryMetric tensorProfinite groupExact coverTriangle groupHomogeneous spaceGeometric group theoryExponential mapSurjective functionCharacter theoryCharacteristic subgroupLinear groupCanonical mapMatrix groupAdjoint representationInverse systemOrbit-stabilizer theoremCongruence relationIsomorphism theoremsCotangent bundleConformal geometryDiagonal morphismAbelian varietyProduct topologySemigroupConjugacy classHolomorphic vector bundleGeometric topologyGroupoidCantor spaceModuli spaceAlgebraic torusGraph automorphismOperator algebraCosetIdentity morphismHyperbolic groupLefschetz fixed-point theorem