1. Cayley's Theorem was a bit difficult to understand at first, especially since it isn't obvious from the statement of the theorem how you would go about proving it. It also relies on an earlier theorem (7.19) that itself isn't intuitive.
2. It was interesting to see group representations come up in this section, since I am signed up for Group Representation Theory for next semester. (I hope that class can stay scheduled!) It was also interesting to see Z and Z mod n show up again in an abstract setting, in the characterization of cyclic groups.
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