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Permutation groupGroup actionGalois groupAutomorphismSymmetry groupAffine groupSymmetric groupMatrix groupIsomorphismLinear groupGroup theoryGroupIsographyTrivial groupInner automorphismConjugationAbelianizationHomomorphismAutomorphyGroup objectEuclidean groupOrthomorphismGroup functorGyroautomorphismAntiautomorphismMorphismLinear algebraic groupAlgebraic groupAbelian groupTopological groupQuotient groupRepresentationOrthogonal groupAffinityGrothendieck groupParatopological groupNormal subgroupAlternating groupInvariant theoryFuchsian groupAlgebraic fundamental groupPseudogroupSurjunctive groupGeneral linear groupMapping class groupMöbius groupAntimorphismOrbitCayley's theoremUnitary groupCohomologyCommutatorSubgroupoidComorphismAutotopismHomologyHomology groupAffine transformationHypergroupExact sequenceBraid groupFundamental groupWallpaper groupHomotopySimple groupSolvable groupOuter automorphismCenterCycle groupWeyl groupPoint groupAutotransformationAdditive groupCongruenceMathematical morphologyLorentz groupGalois theoryMorphism setSupergroupCyclic groupFixed fieldIdentity morphismProfinite groupWordIsogenyEndomorphismChain groupPermutizerGroup schemeModuleCircle groupCogroupCommutative algebraDirect productLie groupNatural isomorphismSporadic groupTriangle groupFree groupMonomorphism