Section 7.9, due on November 19

The most difficult part of this material for me was Theorem 7.5 and also just trying to keep the order of the cycles right. I don't think I quite understand why in Thrm. 7.5 they just remove the parantheses and put the element side by side because I thought the parentheses denoted cycles.

The most interesting part of this material for me was the Thrm. 7.47. I thought it was neat that every permutation in Sn can be written as the product of disjoing cycles. This seems like a really interesting concept and it just seems like a cool fact that has been proved.