1. The hardest part of this section to understand is the three cases in the main proof of theorem 7.52. Once we start having elements that are products of cycles written as (123...) and lots of them together, I start getting really confused and I cannot follow the work of the proof. So this is the hardest part to understand.
2. It is interesting that this section is basically just one theorem and its proof (with a couple of lemmas and their proofs included). This tells me that this theorem is so important that an entire section and day in class needs to be dedicated to it. So, I am determined to understand this theorem well enough to appreciate its importance in our study of abstract algebra, specifically in our understanding of the classification of finite groups.
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