Difficult: I had a hard time understanding what a Sylow p-group is. I don't understand how to find these sylow p-groups and why they are even important. First of all, I don't even know what sylow means. How are sylow p-groups different than regular ones. Even the example following the definition didn't help me understand this concept any better. I don't know how to use the definition to help me use and find the sylow p-groups.
Connections: I felt like the first sylow theorem sounded really familiar. It seemed to me like Lagrange's theorem had some kind of relation to it. This theorem made sense to me, and it seemed that logically it just followed from Lagrange's Theorem. I would understand how to apply this theorem since it sounds a lot like previous theorems we have used in this class.
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