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Charts on soPoint groups in three dimensionsOrthogonal groupSymmetry groupEuclidean groupIsometry groupSpace groupAffine groupGyrationTriple productGroupKleinian groupHeisenberg groupLorentz groupDescriptive geometrySymmetric spaceSymmetric groupSpecial linear groupPermutation groupFundamental groupEuclidean topologyGroup with operatorsIndefinite orthogonal groupCircle groupCompact groupCartan decompositionEuler anglesTransformation geometryDirection cosineEuler's rotation theoremEllipsoidal coordinatesTriangle groupDihedral groupDihedral group of order 6Lattice of subgroupsCoordinate system3-torusCommutator subgroupLinear algebraic groupRotation matrixTrigonometric functionsProjective unitary groupMapping class groupRigid transformationRotation of axesPosition and momentum spacesConformal groupGeometrization conjectureComplex lie groupGeneral linear groupThree-dimensional spaceAlgebraic torusSpecial unitary groupConfiguration spaceTensor product of representationsGeometric group theoryGeometric transformationFirst fundamental formLie's third theoremArithmetic groupTangent spaceComplex geometryAlgebraic groupEuclidean vectorBraid groupAutomorphism groupPythagorean theoremComplex coordinate spaceSpherical trigonometryGroup actionOsculating planeCategory of topological spacesModular groupHopf fibrationTrilinear coordinatesNormSolid of revolutionSpin representationEuclidean plane isometryReal coordinate spaceToroidal coordinatesRiemannian geometryAngle of rotationHexagonal tilingGroup cohomologySpacetimeCross productRegular representationTriply periodic minimal surfaceSimplicial complexOutline of geometryNormal subgroupKnotSolid geometryGenerating set of a groupProduct topology3-manifoldCartesian tensorQuadruple productCohomology ring