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2. Prove that f : Z7 - Z7 defined by f(x) = 3x for all a is a group homomorphism. Recall that the operation on

2. Prove that f : Z7 - Z7 defined by f(x) = 3x for all a is a group homomorphism. Recall that the operation on Z7 is +. 3. Let o = (12) (34567) e S7. Calculate o5

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