Explore BrainMass

Explore BrainMass

    Homomorphism of cyclic group

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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 November 24, 2021, 11:27 am ad1c9bdddf

    Solution Preview

    This is true.

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

    Solution Summary

    This is a proof regarding cyclic groups and homomorphisms.