While I know nobody is going to actually read this stuff I put here, I still want to include this lovely piece of writing. One reason is to be proud of myself, that at some point in my life, actually knew Maths and understood abstract algebra and these Sylow Theorems, whatever that means. Another reason is that this is one and the only one collaborative work between Jie Lin and me, reminding me of the good old days in college with a lot of friends.