Isomorphism Test Isomorphism Test Printable View October 31st 2012, 02:26 PM jzellt Isomorphism Test Let A be a group that can be generated by two elements in A. Suppose B is a group that can not be generated by any two elements in B. Show that A is NOT isomorphic to B. Proof: Assume, on the contrary, that f: A--> B is an isomorphism.