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Automorphism groupGroup actionSymmetric groupSymmetry groupAlternating groupPermutationMatrix groupAbelian groupGroupGalois groupPermutizerAffine groupBraid groupAlgebraic groupParatopological groupGroup theoryLinear groupPseudogroupQuotient groupLinear algebraic groupGeneral linear groupIsomorphismTrivial groupEuclidean groupMultipermutationCyclic groupInversionNormal subgroupCommutatorOrthogonal groupAlgebraic fundamental groupWordCosetSolvable groupHypergroupConjugationDivision algebraSpecial linear groupGrothendieck groupInverse semigroupExact sequenceAbelianizationAdditive groupCommutative algebraNormalizerAutomorphismCombinatorial commutative algebraUnitary groupConjugacy classSurjunctive groupSubgroupoidCircle groupTopological groupTriangle groupCommutative ringChain groupCoxeter groupTorsion subgroupDirect productCommutantWallpaper groupGroup functorCenterInner automorphismProfinite groupSupergroupAbelian algebraPoint groupOrbitCongruenceFree groupHomomorphismGroup ringSimple groupFundamental groupMatrix algebraPrimitive elementPermanentMöbius groupGroup objectSporadic groupSymplectic groupModuleSuperpermutationAlgebraQuasigroupAlgebraic posetCogroupWeyl groupCycle groupOvergroupSpecial unitary groupCayley's theoremDihedral groupGalois theoryDifference setFree monoidRepresentationInvariant theoryRee group