1. I think I am getting caught up on the meaning of cosets - we've talked about them before and I can do proofs with them in it, but the concept behind what they really are I am struggling with a bit. I think that is why the proof of Lagrange's Theorem and Corollary 7.27 does not to clear to me.
2. I thought it very clever how the table on page 204 was filled out - they did a case by case method until they got the right ones. I don't think I would have thought of this! The one on page 205 was a bit more crazy however...
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