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Correct. Equivalently, a^{n} = e.
My book goes nothing like that, but I think it's a pretty good book.matt grime said:Define a group
Prove lagrange's theorem.
Define a homomorphism
Define an isomorphism
I think that's the point. Learning the theory is much easier when you are familiar with a variety of more concrete examples. It also allows for more interesting and varied problems. If you don't "flesh" out the theory, there's little for a student to "grab" on to, at least that's what I've found.mathwonk said:of course examples flesh out the theory.
at least half your list is examples.