Let G and H be nontrivial finite groups with relatively prime orders When $\Psi: G\to H$ be a homomorphism, what can be said about $\Psi$ ?
What can be said given that $\Psi$ is a Homomorphism?
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group-theory
finite-groups
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1Hint: Given $g\in G$, what can be said about the order of $\Psi(g)$ in $H$? – 2011-12-02
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1You have posted two other question ([here](http://math.stackexchange.com/questions/87790/sizes-of-conjugacy-classes) and [here](http://math.stackexchange.com/questions/87795/how-does-an-odd-order-group-affect-the-kernel)). May I ask the source of the problems, and why you are contemplating them at this point? – 2011-12-02