I had a hard time following the proof of thm 7.29 at first, when they were talking about how they knew ab=c. The other thing that I'm still confused about is that the theorems use "either or" language. Does that mean it doesn't matter which one we choose?
Reflective:
I think thm 7.28 would have been a lot more confusing if we hadn't talked about Lagrange's Theorem in class. I liked how Dr. Doud put it - if we have a group of order 24 and 6 distinct cosets, how many elements are in each coset? Obviously for prime numbers, it's either 1 or p.
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