The most difficult part of the reading to understand was corollary 7.27 and it's proof. Maybe I had been reading too long but it didn't make sense to me. I also didn't quite get the proof of theorem 7.25. All in all though this section was easier to understand than most.
I thought Lagrange's theorem was really interesting. The proof was relatively easy to understand so it makes me believe that it has been developed over time from an original much more complicated proof by Lagrange. He must've done much more work in group theory developing more than just that one theory or else I feel like someone else would have figured out this result sooner.
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