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r proof of Fermats little theo- 2. Use Corollary 3.6 to give anothe Proposition 3.3 of Chapter 1. (Hint: In our more up-to-dCorollary 3.6. If IGI n, and a E G is arbitrary, then ane. Proof. Let the order of the element a be k. By Corollary 3.4, k n,

r proof of Fermat's little theo- 2. Use Corollary 3.6 to give anothe Proposition 3.3 of Chapter 1. (Hint: In our more up-to-date language, the theorem should be restated as follows: given any prime number p, a. a for all a E Zp.) rem,
Corollary 3.6. If IGI n, and a E G is arbitrary, then ane. Proof. Let the order of the element a be k. By Corollary 3.4, k n, so there is an integer e with n - kl. Then an ake (akyeet e. D
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r proof of Fermat's little theo- 2. Use Corollary 3.6 to give anothe Proposition 3.3 of Chapter 1. (Hint: In our mo...
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