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Consider the three groups G1 = Z12, G2 = Z6 x Z2, and G3 = Z4...

Consider the three groups G1 = Z12, G2 = Z6 x Z2, and G3 = Z4 x Z3. (The operation is addition in all cases)

(a) Find an isomorphism between two of them

(b) explain why the third group is different

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