7.3, due March 11

The proof of theorem 7.11 is one of the hardest things for me in this section because I don't have a good understanding of analyzing the order of an element using modulo or a product of 2 other numbers. I read over those theorems from the last section multiple times and they just don't make that much sense to me. I'm starting to get it, but I don't think I know it well enough to think to use it for a proof yet. I like the cyclic groups because it's an easy way to quickly come up with a subgroup and the proof of why it is a subgroup makes perfect sense! (and it's convenient that all of these are abelian) It's also really great that we've finally made the connection between the order of an element and the order of a group, it's a pretty cool connection too!