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Homomorphism of cyclic group

Let G be a group and h:G-->h(G) a homomorphism.Prove or Disprove

If G is cyclic,then h(G)is cyclic.

Solution Preview

This is true.

Proof:
Since G is cyclic, then G=<a> for some a in ...

Solution Summary

This is a proof regarding cyclic groups and homomorphisms.

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