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    Homomorphism of cyclic group

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

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

    © BrainMass Inc. brainmass.com October 9, 2019, 4:23 pm ad1c9bdddf
    https://brainmass.com/math/linear-transformation/homomorphism-cyclic-group-31108

    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.

    $2.19