1. The hardest part about this reading was understanding the purpose and proof from Theorem 7.8. It kind of makes sense, but I do not really understand the purpose in knowing about an element in a group and the order of that element and the order of that element raised to an exponent, etc. So it makes it really hard to comprehend because I do not know where the book is going with the information in this theorem.
2. The most interesting part of this reading is tightly connected to the hardest part of this reading -- the order of an element of a group. This is so interesting. I would not have expected us to look at the order of an individual element of a group. It is so cool how everything in this course expands itself!
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