Solution
= Solution
\b[False.] A finite cyclic <group> has nonidentity torsion, whereas $\mathbb Z$ is torsion-free, so an injective homomorphism cannot exist.
= Solution
\b[False.] A finite cyclic <group> has nonidentity torsion, whereas $\mathbb Z$ is torsion-free, so an injective homomorphism cannot exist.