Tag: Normal subgroups

• Normal Subgroups and Quotient Groups: The Condition for Multiplying CosetsFrom the wish to multiply cosets by their representatives we derive normality, prove that G/N is a group with a natural surjection onto it, and work out Z/nZ in full detail.MathematicsAlgebra: Groups, Rings and FieldsUndergraduateGroup theoryNormal subgroupsQuotient groupsCosetsCongruences~32 min