Quotient group
group obtained by aggregating similar elements of a larger group
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Let G be a group and let N be a normal subgroup of G. Then is the set of all cosets of N in G and is called the quotient group of N in G.
This group is used in the proof of Lagrange's Theorem, for instance. In fact, the proof of Lagrange's theorem establishes that if
G is finite, then .
