Maybe it was because it was at the end of 7.9, and because we didn't cover it in class, but I don't feel like I understand what an alternating group is. Because of that, it's really hard to understand the theorems from 7.10.
Reflective:
I just find it interesting that we have a single-sentence theorem, and it takes 2 lemmas and 2 pages of textbook just to prove it. I really really hope we aren't expected to state & prove that :O
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