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Finitely generated groupResidually finite groupCentralizer and normalizerNilmanifoldTorsion groupFitting subgroupPolycyclic groupSpecial linear groupFinitely generated abelian groupPermutation groupP-groupLength functionGenerating set of a groupRank of a groupClass functionGroup of lie typePerfect groupElementary abelian groupBorel subgroupSimple lie groupGroup extensionFundamental groupDiscrete groupNon-abelian groupCentral seriesLinear algebraic groupSubgroupNilpotentGeneral linear groupCompact groupDivisible groupOrderSolvable groupInfinite groupLattice of subgroupsCyclic groupFinite groupLinear groupNormGalois groupSimple groupCovering groupRegular representationAlgebraic number fieldAlgebraic groupCommutatorCongruence subgroupIdeal class groupCartan subalgebraIsogenyAutomorphism groupIrreducible representationAlgebraic topologyFinitely generated algebraSpecial unitary groupHyperbolic groupAffine groupAlgebraic function fieldGeometric seriesIndefinite orthogonal groupSequence spaceCommutator subgroupG-moduleEquivariant cohomologySolvable lie algebraArithmetic groupBurnside's theoremCharacter theoryIndex of a subgroupCohomologyAbelian groupModular groupFundamental group schemeOrthogonal groupComponentTorsion subgroupGalois moduleGroupChain complexBinomial typeFinite intersection propertyCayley's theoremGenerating functionAlgebraic closureSymmetric groupConstructible universeHeightLocally compact groupTriangle groupAdelic algebraic groupHomogeneous spaceNormal subgroupSelberg trace formulaSemialgebraic setOne-parameter groupSylow theoremsEuclidean groupMaximal and minimal elementsAutomorphic formSpanning tree