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Isomorphism theoremsLattice of subgroupsGroup of lie typeGeometric group theoryMaschke's theoremLefschetz fixed-point theoremFundamental groupCayley's theoremArithmetic groupGroup cohomologyPolycyclic groupSchur polynomialCartan decompositionClosed-subgroup theoremStickelberger's theoremLinear algebraic groupGalois groupClass field theoryCommutator subgroupTorsion groupPermutation groupIndex setGenerating set of a groupCosetEuclidean groupLength functionArithmetical hierarchySpecial linear groupLatticeArchimedean propertyCombinatorial speciesIdeal class groupDivisible groupAlgebraic number theorySymmetric groupInfinite groupGroup extensionNormSolvable groupLegendre polynomialsGalois cohomologyP-groupAlgebraic combinatoricsBorel subgroupFinitely generated groupCohomologyCoproductCentralizer and normalizerLefschetz hyperplane theoremIntersection theoryKleinian groupCongruence subgroupFamily of setsFundamental group schemeCycle graphHilbert's syzygy theoremHyperbolic groupIsometry groupAffine groupCayley graphLorentz groupSchur multiplierGroup theoryNewton's identitiesBurnside's theoremAlgebraic number fieldPetrov classificationComponentCoxeter groupPartially ordered setConstructible universeNumber theoryAleph numberNormal subgroupOrthogonal groupMagnetic space groupCantor's theoremSpectral graph theoryGroup representationClassical groupCantor's intersection theoremTrigonometric polynomialMathematicsIsogenyBott periodicity theoremTranscendental number theoryEquivariant cohomologyDouble cosetSperner's theoremTopological groupBurnside's lemmaTorsion subgroupCompact groupProjective linear groupSylvester's sequenceFinite fieldTriangle groupElementary abelian groupSet-builder notationPartition