1. The hardest part of this reading is understanding the importance in some of the theorems discussed and proved in this section. Some of them may make sense, but I wonder why they are important and why we have to learn them. Like, for example, why is it important to know theorem 7.45: G is a simple abelian group iff G is isomorphic to the additive group Zp for some prime p. Also, why is it important to know that if you have a situation like theorem 7.44 part 3. It just seems like these things are not very pertinent to our study of mathematics, thus it becomes very difficult for me to learn these things and understand them when I think they are somewhat not very useful.
2. The best part of this reading is being about to create homomorphisms and isomorphisms with/to quotient groups. I love coming back to concepts I actually understand and I actually understand homomorphisms and isomorphisms! This makes the new math for the day better because I feel like I have a strong handle on some of the new stuff because it is old stuff that I really understand still.
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