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Automorphism groupSymmetric groupPermutation groupGroupParatopological groupAlgebraic groupGroup actionLinear groupAffine groupMatrix groupPseudogroupGrothendieck groupChain groupSupergroupHypergroupSemihypergroupSubgroupoidLinear algebraic groupExact sequenceConjugacy classQuotient groupFuchsian groupTopological groupSymmetry groupGalois groupAdditive groupConjugationAlgebraic fundamental groupFundamental groupCosetSolvable groupCommutantQuasigroupUnitary groupAbelian groupCogroupOvergroupTrivial groupCycle groupTriangle groupHomology groupSemigroupHypergroupoidAdjunctIsomorphismCommutatorEuclidean groupGroup objectLie groupBijectionSpecial unitary groupInverse semigroupBraid groupSemimoduleSemigroupoidGroup theoryNormal subgroupAlternating groupGroup functorDirect productRee groupGroupoidSporadic groupLatticeWallpaper groupCayley's theoremInjectivityChow groupProfinite groupCyclic groupBrauer groupNormalizerDisjoint unionCircle groupCohomologyJoinIsogenyDirect sumCommutative algebraGeneratorLocally compact groupCongruenceSemidirect productAntisetSubgyrogroupFree productSurjective functionInverse systemWeyl groupSpecial linear groupCounionAx-grothendieck theoremSemiconjugacyCounitSumsetSublatticeFree groupProjectiveSuperringAdjoint