1) The most difficult thing for me in these sections were the proofs in 8.4. I am also worried that I will be able to memorize all of these definitions. Also, what is the importance of conjugacy being an equivalence relation in G? How does that help us?
2) It is just cool to see all of these different theorems and I'm glad that I understand them (for the most part). I am also glad to see a theorem from Cauchy - I have been learning about him in History of Math. He wanted to axiomatize/generalize everything in calc. Looks like in the meantime he helped develop abstract algebra.
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