Difficult: I am having a hard time understanding how the generators of groups work, and what Theorem 7.17 means. Specifically, I don't understand what exactly the set <S> is and what it means by "all possible products, in every order."
Reflective: I think that cyclic groups and the center of a group are interesting concepts, and I wonder what the connection between the two types of groups are, if there is any. I also wonder what the center of a group is used for.
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