Difficult: I am having a hard time understanding Theorem 7.38 and what uses it will have. It seems that if we wanted to use this theorem to find out if G is abelian, it would be easier to just show directly that G is an abelian group.
Reflective: I think it's interesting that the structure of a group can be discovered if the structure N and G are known. I also think it's interesting that there are so many properties that seem to be parallel to the properties of quotient rings.
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