Difficult: One question. Why is a nonzero group under multiplication never a group?
Reflective: This section is nice because it gives us a lot of nice properties in groups that we are used to in rings. The whole group of shapes thing is kinda wierd, but cool. It reminds be of a game we played in elementary where we had to figure out what a piece of paper looked liked afer being folded, or rotated, or had a hole cut out and then was unfolded. Never thought of it as a function before though.
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