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Quotient Group Construction

A group obtained by aggregating similar elements of a larger group using an equivalence relation defined by a normal subgroup.
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The statement of the theorem

If N⊴GN \trianglelefteq G, the quotient group G/NG/N is the set of all cosets of NN in GG with the operation (aN)(bN)=(ab)N(aN)(bN) = (ab)N.
Source: Wikipedia