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How to do the following problem?

Let $K$ be a normal extension of $F$, and let $f(x)\in F[x]$ be an irreducible polynomial over $F$. Let $g(x)$ and $p(x)$ be monic irreducible factors of $f(x)$ in $K[x]$. Prove that there is a $z\in\operatorname{Gal}(K/ F)$, with $z(g)=p$.

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    I think this is contained in the book: *Foundations Of Algebraic Geometry* by **A.Weil**. If you are interested you can have a look into it. I will vouch for this after I have the access to that book again.2012-02-04

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