Let Φ: G --> H be a group homomorphism.
Let Φ be a surjection. Then Φ is an isomorphism if and only if the order of the element φ(a) is equal to the order of the element a for all a єG.
See the attached file.© BrainMass Inc. brainmass.com October 24, 2018, 8:27 pm ad1c9bdddf
Group homomrphisms and isomorphisms are investigated and discussed in the solution. The solution is detailed and well presented.