asked to find C_n to C_m, two possibilities: 1, (n,m) =1, is it trivial ? 2, what happens when (n,m) not = 1 ? got no idea
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$\displaystyle \text{Hom}(\mathbb{Z}_n,\mathbb{Z}_m) = \{[x]_n\mapsto [kx]_m : m|kn \} $
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