What was most difficult?
The most difficult thing is keeping the definitions straight, because there are definitions embedded within definitions. Let me give an example: A sylow p-subgroup is a subgroup of order p^n when p^n is the largest power of p that divides |G|. So, to know what a slow p-subgoup is, you have to wrap your head (in my case, not a smart head) around this definition. Now, In Corollary 8.16, we reference the name sylow p-subgroup, but then I have to embed that definition in 8.16 because I still havnen't wrapped my head around what a sylow p-subgroup is. This is a common thing in mathematics, but when all the terms are new to you, it gets confusing. I have to keep referring back to the previous page. It is a whimpy complaint, I know.
Reflections
Not much to reflect about on this, but I was at the MAA conference on Friday, and a fellow BYU student, Kyle Stewart, gave a presentation in representation theory. He used lots of the vocabulary we have covered in this class. Even though I couldn't follow everything he was saying, I was able to a little bit because of this course.
That was fun!
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