Show that there does not exist a surjective ie onto


Show that there does not exist a surjective (i.e., onto) homomorphism f : Sn → Cp for any integer n ≥ 2 and any prime number p ≥ 3. Here Cp denote the cyclic group of order p.Hint: The cases, where n = 2, 3 and 4 require special care.

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