Unformatted text preview: f p of the preceding exercise is not onto. Conclude that | pG | < | G | . Exercise 7. If p is a prime and n ∈ N prove that p Z p n ∼ = Z p n-1 . [ Suggestion: Use the homomorphism f p of exercise 5 and the fact that subgroups of cyclic groups are cyclic.]...
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This note was uploaded on 02/29/2012 for the course MATH 3362 taught by Professor Ryandaileda during the Spring '10 term at Trinity University.
- Spring '10