1) If Sn is really huge, is there a way you can find all of the even permutations in Sn easily? Will half of Sn always be even permutations and the other half odd permutations since it is isomorphic to Z2? And for the last corollary 7.55, we know that all of the even permutations in Sn are normal, so don't you just have to show that any odd permutations are not normal? I also couldn't follow the cases on pg. 240 too well.
2) After studying for the test, I am happy to feel like I can follow this section much more easily than the past few sections that we have been studying. Again, I am hoping that we could talk a little about the application of these things - if there is application. I know that often times, math is just studied for math's sake.
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