Consider the group U(12) = {1, 5, 7, 11} with multiplication modulo 12. (a.) Is U(12) isomorphic to ZĄ? Justify your answer. (b.) The function : U(12) U(3) kk mod 3 is a group homomorphism. (You do not need to check this.) What is ker(p)? (c.) Is H a normal subgroup of G? Justify your answer.

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