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Linear algebraic groupCongruence subgroupLatticeAffine groupPartition of a setAlgebraic groupCosetComplete latticeFundamental groupSpecial linear groupSemigroupNormModular groupSymmetric groupCommutator subgroupInteger latticeGenerating set of a groupIsometry groupLinear groupGeneral linear groupPermutation groupDistributive latticeGroup extensionExact coverComparison of topologiesTorsion groupEuclidean groupSubgroupGroupFamily of setsCompact groupSpecial unitary groupCartan decompositionGroup actionPartially ordered setMapping class groupCayley's theoremInfinite groupSubmanifoldProjective unitary groupIncidence algebraIntersectionComplementPolycyclic groupIndex of a subgroupQuotientKleinian groupLength functionGroup isomorphismPartial functionDouble cosetConjugacy classClosed-subgroup theoremTriangle groupRing of integersAdjoint representationIdeal class groupGroup of lie typeIsogenySpecial linear lie algebraPower setCovering groupArithmetic groupPin groupSymmetry groupCharacter theorySubsetModular latticeFinitely generated groupSemilatticeCategory of setsIntersection theoryElementary abelian groupBorel subgroupNormal subgroupGroup with operatorsGalois groupInclusion mapGroup schemeRepresentation of a lie groupTorsion subgroupMatrix ringBoolean algebraIndex setDerivative of the exponential mapOrthogonal groupCayley graphFundamental representationHomomorphismRegular representationCharacter groupIndefinite orthogonal groupComplex lie groupCovering relationCoverLie's third theoremBasePermutationKlein four-groupSolvable group