15.32 Let $E$ be a finite extension of a field $F$ with dimension $n$. Show that $|\operatorname{Gal}_F(E)| = n$ if, and only if, $E$ is a Galois extension of $F$.
Please some help to find the prove of Galois extension
15.32 Let $E$ be a finite extension of a field $F$ with dimension $n$. Show that $|\operatorname{Gal}_F(E)| = n$ if, and only if, $E$ is a Galois extension of $F$.
Please some help to find the prove of Galois extension
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