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Simply, we can say that the quotient group of N in G as all elements in G that are not in N.
This set 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 .
References[change | change source]
- "What's a Quotient Group, Really? Part 1". www.math3ma.com. Retrieved 2021-09-15.