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Additive number theoryGroupAdditive operationAbelian groupAdditive functionAdditive identityCosetAbelian algebraMatrix groupQuotient groupGroup objectAlgebraic groupAssociative algebraSemigroupModuleLinear algebraic groupGrothendieck groupDivision algebraLinear groupGroup theoryPermutation groupRingAdditive combinatoricsAutomorphism groupGroup actionAffine groupCommutative ringParatopological groupHypergroupTrivial groupMultiplicative operationAdditionDirect productGroupoidSymmetric groupGalois groupLatticeGroup ringWordBraid groupSymmetry groupBinary operationGroup functorCircle groupSimple groupBrauer groupCommutative algebraSemigroupoidQuasigroupAlgebra over a fieldZeroAdditive inverseChain groupSupergroupAlgebraic fundamental groupAdditivenessAlternating groupSporadic groupBoolean algebraSurjunctive groupFundamental groupMultiplicative subsetGeneral linear groupAlgebraOvergroupAlgebra over a ringTopological groupBoolean ringMonoidHyperringFree groupNormal subgroupCommutatorSolvable groupAlternative algebraOrthogonal groupConjugacy classMultiplicative identitySubgroupoidCyclic groupNon-associative algebraσ-additivityUnitary groupTriangle groupGyrogroupTorsion subgroupAbelianizationPrimitive elementSpecial linear groupAbstract algebraDirect sumField of quotientsCogroupFree monoidAlgebraic structureQuadditionEuclidean groupMöbius groupMatrix algebraLie group