(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let ψ: G→H be a homomorphism and let g ε G have finite order.

a) Show that the order of ψ(g) divides the order of g

3. The attempt at a solution

I'm really lost here, but I'm guessing we can use the fact |ψ(g)| = {e,g...,g^{|g|-1}}

and ψ(g^{|g|-1}) = ψ(g)ψ(g)ψ(g)ψ(g)ψ(g).... (|g|-1 times)

I still have no idea where to start.

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# Homework Help: Group Homomorphisms and order

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