7.8

1. What was the most difficult part of the reading for you?
I think that I understand the idea of simple groups, that doesn't really bother me. However I really struggled to follow the reading after the first paragraph of that section. I mostly think that the problem is that there aren't really very many examples given (other than Zp) but I think I really just need a class with examples to really grasp the concept and the following theorems and stuff.

2. Quotient Groups and Homomorphisms
As I mentioned in the last reading, this was the part where I really really got confused with rings and such. I think it's a mix of having so many theorems in this chapter and the notations make me dizzy and confused. For example, in the third isomorphism theorem for groups when it uses the notation (G/N)/(K/N), like... really? Am I reading this right? Is this "(G mod N) mod (K  mod N)"?!? What is that? That is so crazy!