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Borel subgroupSolvable groupTorsion groupCyclic groupLinear algebraic groupFinitely generated groupFinitely generated abelian groupGenerating set of a groupAlgebraic groupIsogenyFinite groupLattice of subgroupsCongruence subgroupProfinite groupFinitely generated moduleInfinite groupSimple groupCompact groupGroup extensionMaximal independent setDihedral groupCayley's theoremPartition of a setPermutation groupTriangle groupSemigroupOne-parameter groupNormFundamental polygonKleinian groupPolygonFinite topological spaceCommutator subgroupGroup actionMaximal idealElementary abelian groupLinear groupFundamental representationFundamental groupSymmetric groupCovering groupResidually finite groupCharacteristic subgroupSymmetric spaceModular groupHyperbolic groupAlternating groupComplex lie groupAffine groupGroup of lie typeComponentReductive groupFinitely generated algebraIsometry groupSimple lie groupPin groupFinite ringComparison of topologiesConvex hull of a simple polygonSubmanifoldCosetLocally compact groupArithmetic groupCycle graphGroup ringLatticeComplete boolean algebraFundamental group schemeSolvable lie algebraClosed-subgroup theoremCycle basisSpecial linear groupParametric equationBurnside's theoremSystem of equationsBiconnected componentGroupComplementGalois groupCartan decompositionMaximal torusClass functionLie's third theoremFinite fieldConstructible universePerfect groupSemisimple lie algebraLength functionAlgebraically closed fieldCofinitenessParacompact spaceGraded ringNormal subgroupCharacter groupNilpotent groupComplete graphFinite setGroup schemePerfect graphFree abelian group