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PennState666
#1
Mar8-12, 05:36 PM
P: 18
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.
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