I'm not sure I understand how thm 7.36 works in regards to the order of G/N. I think we established a normal subgroup of order 4 in D4 today. So D4/N would have order 2? How do I know what 2 elements are in there?
Reflective:
I thought it was cool how they related the quotient ring R/I to quotient groups and how R/I was really just the additive group of the quotient ring R/I.
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