Difficult:
I understood about three quarters of this section, so I did understand most of it, but it was a little longer than usual and my brain somewhat stopped working at about the end of page 185. One thing that I found difficult was the proof of theorem 7.10 on page 182. It was a little confusing to me why they only needed to prove that e was in H. I think I may understand why, but it would have been nice to have a little more of an explanation after the proof or something. I also don't really grasp the understanding of cyclic groups. So the first example on pg. 185 was confusing to me. In general, I think I could easily understand all of the material in this chapter, I just need a little bit more time and experience with it in my homework.
Reflective:
I think I have discovered from reading this book that one of the key underlying features in math is patterns. Patterns make up everything in math. Just when you think that they have talked about every different kind of arrangement of numbers, the sprouts another one. That is what I feel about this section. Math really is amazing. I know that I have said that before a lot on these blogs, but it really is true. It is astonishing to me how many different patterns and kinds of "groups" of numbers there are in this world.
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