1. The problem statement, all variables and given/known data
Allow m,n to be two relatively prime integers. You must prove that Z(sub mn) ≈ Z(sub m) x Z(sub n)
2. Relevant equations
if two groups form an isomorphism they must be onto, 1-1, and preserve the operation.
3. The attempt at a solution
since m and n are relatively prime, the gcd(m, n) = 1.
mhm, very stumped from the start.