1) At first, it was super weird for me to think that it would be ab^(-1) is in K, but now it make sense because it totally depends on the operation that we have assigned to our group. I don't totally understand the proof for Lagrange's theorem - hopefully it will make sense in class.
2)Everything is pretty straightforward. I think the most interesting theorem is Lagrange's theorem, although I do not yet understand the proof.
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