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StabilizerNormal subgroupNormalizerOrbit-stabilizer theoremFitting subgroupSolvable groupCosetFixed fieldTorsorLinear algebraic groupTorsion subgroupSubrepresentationSymmetry groupSupergroupCenterAbelian groupYoung symmetrizerLeft cosetDivision algebraGroupAlternative algebraRight cosetInvariant theoryUnderlying setPermutation groupAlgebraic groupAlgebraic subvarietyGalois groupSubringGroup actionSubgroupoidPseudogroupAutomorphism groupSylow theoremOrbitQuotient groupSymmetric groupConjugacy classGeneratorAffine groupSubgyrogroupσ-algebraGroup theoryCentralizerCircle groupTrivial groupIdentityAdditive groupLinear subspaceIdentity elementPermutizerRelatorAlgebraAlgebraic fundamental groupLinear groupWeyl groupWordIdealEuclidean groupRepresentationChow groupHypergroupMatrix groupPrimitive elementCartan subalgebraLatticeSpecial linear groupPower-associative algebraParatopological groupCommutantModuleCyclic groupCongruenceMeasurable setHomology groupExact sequenceCayley's theoremAbstract algebraChain groupSubmultialgebraSemidirect productBaseSymplectic groupHomomorphismRegular elementGroup functorSimple groupAbelianizationLie algebraSublatticeLeft idealAlgebraic posetSemigroupoidStackFundamental groupOrthogonal groupDirect productAntialgebraSuperrigidityAlgebraic structure