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Trivial groupSporadic groupCyclic groupSolvable groupNormal subgroupFree groupGroupSimple ringSimple algebraDirect productLinear groupPrimitive elementQuotient groupAbelian groupAutomorphism groupGroup theorySubgroupoidPermutation groupLie groupGroup actionSymmetric groupSupergroupBaseAlgebraic groupAlternating groupParatopological groupFitting subgroupBraid groupLinear algebraic groupChain groupSemidirect productCenterGroup functorWordMatrix groupQuasigroupAdditive groupPrime fieldMalnormalitySymmetry groupGalois groupSingletonSpecial linear groupAlgebraic fundamental groupSmall categoryNormalizerGrothendieck groupUnitary groupOvergroupSemigroupoidSemihypergroupPoint groupSpecial unitary groupMinimal idealPseudogroupTriangle groupTopological groupGroup schemeTrivial topologySylow theoremInverse semigroupFundamental groupCircle groupEmpty graphEmpty setZeroGroupoidSimple extensionLatticeGeneral linear groupSemigroupAnabelian geometryHypergroupGroup ringDiscrete categoryDivision algebraNull setFuchsian groupCliqueSimple rootMonster groupTrivial absolute valueAffine groupOrderModuleFree abelian groupEuclidean groupRegular graphCayley's theoremFree productOrthogonal groupTorsion subgroupNegligible setLamplighter groupIdealCosetLocally compact groupFixed fieldProfinite groupCentral simple algebra