1. What was the most difficult part of the material for you?
First of all, I'm glad that that example in 2.4.4 really was wrong, because I was ready to throw up. I also found this section easier to follow than some of the others. I think that part of that is because a lot of the things discussed are almost "restating" things that we've already covered. However, I did kind of struggle with Theorem 2.4.5.1. If I were to state it in my own words, I might say "If G is a finite cyclic group of order n, any number that divides n, there exists subgroups of that order." So, I'm pretty sure that is what the theory is saying, but following the proof (since I always struggle with contradiction proofs) kind of lost me.
2. What was the most interesting part of the material?
I really wish that we could make a big chart of the phi function's functionalities. Like, numbers that divide n (in Zn, or whatever) can tell you the different sizes of subgroups, or a number d such that (d,n)=1 will be a generator of that group, or something... It just seems like there are so many similar things for things dealing with the phi function that I know I should probably make a chart or list them out or something so I can compare and contrast all of these theorems that are bleeding together for me.
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