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Let $\mathbb{Z}/m\mathbb{Z}$ be the additive group of integers mod $m\ge 1$. (This group is often denoted $\mathbb{Z}_m$.)

1) There are
Select Option 4210521210
group homomorphisms from $\mathbb{Z}/105\mathbb{Z}$ to $\mathbb{Z}/42\mathbb{Z}$.
The set of such homomorphisms forms
Select Option an abelian non-cyclica cyclic a non-abelian
group. 2) There are
Select Option 4210521210
group homomorphisms from $\mathbb{Z}/42\mathbb{Z}$ to $\mathbb{Z}/105\mathbb{Z}$.
The set of such homomorphisms forms
Select Option an abelian non-cyclica cyclic a non-abelian
group.
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