Mapping generator to generator in cyclic groups.

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jmjlt88
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Attached is my attempt at a proof. Please critque! :shy: Thank you!
 

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Note: Equation (1) in my proof is something that I proved in a prior exercise.

I did it by Mathematical Induction. I don't have it typed nicely, but I am pretty confident it worked.
 
Looks good! I don't see any issues.