1/ Determine in each of the parts if the given mapping is a homomorphism. If so, identify its kernel and whether or not the mapping is 1-1 or onto. (a) G = Z under +, G' = Zn, 4(a) = [a] for a € Z. 1 (b) G group, : G→ G defined by 4 (a) = a¹ for a € G. (c) G abelian group, 4: G→ G defined by (a) = a¹ for a E G.

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