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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 n1 . [ Suggestion: Use the homomorphism f p of exercise 5 and the fact that subgroups of cyclic groups are cyclic.]...
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 Spring '10
 RyanDaileda
 Algebra

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