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CosetConjugacy classSymmetry groupMatrix groupGroup extensionQuotient groupGroupPermutation groupLattice of subgroupsCayley's theoremSymmetric groupGroupoidGroup theoryCongruence subgroupGroup actionDirect product of groupsLinear algebraic groupGroup isomorphismFundamental groupCoequalizerHomomorphismFormationCohomologyGroup cohomologyGroup schemeAlgebraic groupCommutator subgroupEquivalence of categoriesTopological groupDual systemCartan decompositionTensor product of representationsWeyl groupEquivariant cohomologyInfinite groupAutomorphism groupMapping class groupSubgroupCharacter tableEquivariant mapTensor product of fieldsSymmetric spaceGenerating set of a groupTorsion groupSemigroupGalois groupGeometric group theoryClass field theorySymmetric differenceAffine groupCoreArithmetic groupQuasigroupCategory theoryOrthogonal groupSpecial linear groupEuclidean groupFamily of setsSubgroupoidConformal symmetryTopological fieldNormCovering groupIsometry groupBirational geometryNormal subgroupConformal geometrySpace groupSolvable groupDihedral groupIntersection theoryLinear groupElementInverse semigroupGalois connectionParatopological groupIsogenyFundamental group schemeDiagonal morphismEquivalence classGroup with operatorsDualSymplectic groupCompact groupTriangle groupGeneral linear groupCoverPseudogroupProductIsomorphism theoremsQuotientProjective unitary groupHomotopy theoryClass functionSemidirect productGermAdjoint representationWitt groupSubcategoryCongruence relation