Honestly, I don't think I found anything in the chapter to be hard, since I've been studying group theory independently for a while. The only thing that was new is that the definition of a group that I first learned did not include the unit axiom. I don't know what implications this has, but I'm interested to find out.
In thinking about finite groups and permutations, I figure there can only be a finite number of nonisomorphic groups with an arbitrary number of elements. I'd be interested to learn how to figure out the number of possible groups given a number of elements.
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Given an arbitrary positive integer n, there's no easy way to list all groups of order n, but we'll look at a few examples later in the semester.
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