8.3, due April 11

• Difficult:  The sylow theorems actually seemed to make sense to me. Of course, I won't really know until I try to put them into practice. However, I'll admit that I still don't really understand the x^(-1)Kx. I feel like we've seen that a lot, but I have no idea what it means.
• Reflective: I feel like Cauchy's Theorem in this section is very similar to LeGrange's theorem. I guess the difference is that p must be prime, and then G DEFINITELY contains an element of order p, rather than it could contain an element of order p. Yes?