Part I: What was the most difficult part of the material for you?
I am stuck on theorem 8.21 because I am having a hard time seeing how the number of distinct conjugates of a are related to [G:C(a)]. The proof really confused me because I don't really know why they are doing what they are doing and what it is accomplishing. The example kind of makes sense, but the proof is way to confusing for me to see that clear connection.
Part II: Write something reflective about the reading.
I thought it was interesting to learn about conjugates and conjugacy classes. At first, I didn't like thinking of another kind of class, but I can see how this class is similar to congruence classes with modular arithmetic, it is just a computation and a set of elements with that computation. At least, that is how I kind of think about it.
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