Explore BrainMass

Group Homomrphisms and Isomorphisms

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 July 19, 2018, 12:09 am ad1c9bdddf


Solution Summary

Group homomrphisms and isomorphisms are investigated and discussed in the solution. The solution is detailed and well presented.