It was confusing when they said that you can conclude from Na=aN is that if na is in Na then na is also an element of aN, so that there is t in N such that an=at in aN. Does that mean that n=t?
Reflective:
I thought it was cool how they connected normal groups to abelian groups and centers of groups, and it was good that they made sure to mention that it doesn't imply that the normal subgroup N is commutative.
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