1) (Difficult) I had trouble understanding Thrm 2.4.4.5 and I don't know that I fully understand Thrm 2.4.4.6. I don't understand for example how the number 7 in their example can be 7=2,4,p^k, 2p^k for p a prime. I know 7 has primitive roots, but I do not see how that statement is true about seven. I also find it would be difficult to find the primitive roots for a large number.
2) (Reflective) I have seen some of these thrms and proofs before. I am familiar with Lagrange's Thrm and Fermat's Little Thrm. I am also familiar with cyclic groups, abelian groups , and order.
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