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Generating set of a groupFinitely generated abelian groupResidually finite groupGroupPermutation groupFinitely generated algebraSymmetric groupPolycyclic groupFinite groupCompact groupSpecial linear groupAutomorphism groupLinear algebraic groupAffine groupIsogenyLattice of subgroupsLinear groupCentralizer and normalizerTorsion groupGroup isomorphismGroup of lie typeField of setsSubgroupAlgebraic groupHyperbolic groupNilpotent groupIsometry groupSemialgebraic setFinitely generated moduleAlgebraic function fieldDivisible groupCongruence relationSolvable groupFundamental groupAlgebraic structureElementary abelian groupCovering groupEquivariant sheafRank of a groupConjugacy classFinite intersection propertyGeneralized inverseEuclidean groupHomomorphismBorel subgroupGroup with operatorsAbelian groupTorsion subgroupProjective representationCommutator subgroupAdelic algebraic groupInfinite groupCongruence subgroupP-groupGalois groupRegular representationAlgebraic number fieldPartition of a setGeometric group theoryCyclic groupOrthogonal groupClass functionSymmetric spaceSemigroupInner automorphismAdjoint representationPermutation graphNon-abelian groupSymmetry groupGroup representationCharacteristic subgroupFundamental representationMaximal and minimal elementsComplementFinite fieldNormal subgroupIdeal class groupArithmetic groupGeneral linear groupDiscrete groupElementary functionGroup actionCharacter theoryAbelian varietyCosetSemigroup actionCyclic permutationExact coverAutomorphic formQuotient groupChain complexHomogeneousFinite ringGroup homomorphismFinite setGraded ringIncidence algebraBurnside's theoremDistributionAlgebraic element