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ComplementGroup theoryIndex setSubgroupCongruence subgroupNormDirect sum of groupsLattice of subgroupsRank of a groupLocally compact groupLinear groupGroup extensionGroup actionGalois moduleOrderSpecial unitary groupOne-parameter groupComponentCoreCharacter groupClosed-subgroup theoremG-moduleCovering groupRing of integersFinite groupSemigroupComputational group theoryReductive groupLength functionLinear algebraic groupInverse semigroupCommutator subgroupInfinite groupFundamental groupoidHecke algebraHomotopy groupFree abelian groupGroup homomorphismMapping class groupModular groupKleinian groupAlgebraic groupSimplicial homologyBlockAlgebra homomorphismAffine groupPin groupClass functionAlternating groupCosetCayley's theoremDerivative of the exponential mapInteger matrixHomological algebraDirect product of groupsTorsion groupGroup schemeGraph isomorphismProduct of group subsetsPermutation groupPreadditive categoryIndex notationFuchsian groupAlgebraic functionBorel subgroupCyclic groupTriangle groupProjective unitary groupSimple groupDifferential galois theoryConvergent seriesFundamental groupRepresentation of a lie groupIndexed familyHeisenberg groupCardinalitySimple lie groupSupport functionGalois groupGeneral linear groupDihedral groupCharacter theoryInteger sequencePi-systemGroup cohomologyHilbert manifoldHarmonic numberGalois cohomologyHierarchyInduced pathDivisor functionSchur multiplierSpecial linear groupDivisor summatory functionLie groupRegular representationHilbert matrixGeometry of numbersParametric equationClosed category