Let G1 and G2 be groups, and let f: G1 -> G2 be an isomorphism.
If G1 is a cyclic group with generator a, prove that G2 is also a cyclic group, with generator f(a).
Can someone show this proof? Thanks so much!!
Let G1 and G2 be groups, and let f: G1 -> G2 be an isomorphism.
If G1 is a cyclic group with generator a, prove that G2 is also a cyclic group, with generator f(a).
Can someone show this proof? Thanks so much!!