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Simple groupTrivial groupCyclic groupSolvable groupMonster groupAlternating groupProfinite groupGroup theoryFree groupGroup functorAlgebraic groupGroupQuotient groupGalois groupGroup schemeLinear algebraic groupBraid groupPermutation groupLinear groupAlgebraic fundamental groupGroup actionSpecial linear groupCoxeter groupSylow theoremChain groupAutomorphism groupLatticeMatrix groupFrieze groupParatopological groupFundamental groupPrimitive elementNormal subgroupTopological groupSchemoidPseudogroupOvergroupAdditive groupGroupoidSupergroupQuasigroupLie groupGalois theorySperner's theoremRee groupTorsion subgroupSmall categoryGroup objectBaseFuchsian groupSymmetric groupHomology groupWordSymmetry groupDirect productSemidirect productGeneral linear groupOrthogonal groupSubgroupoidDiscrete categoryCategory theorySemihypergroupAbelian groupWallpaper groupDifference setCenterLorentz groupDihedral groupSymplectic groupSemigroupoidFitting subgroupChow groupInvariant theoryLamplighter groupGalois extensionDivision algebraFree productLocally compact groupSurjunctive groupAlgebraic graph theoryGrothendieck groupAffine groupCayley's theoremFrobenioidCosetOrderGeneratorGoguen categorySpectrumGenusAbstract nonsensePartitionMalnormalitySpecial unitary groupHypergroupErgodic theoryFeit-thompson theoremSuperrigidityAlgebraCharacter theory