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
This is true.
Since G is cyclic, then G=<a> for some a in ...
This is a proof regarding cyclic groups and homomorphisms.