Let $\displaystyle F = \overline{\mathbb{F}_p} (x)$, the function field of the algebraic closure of $\displaystyle \mathbb{F}_p$.

Show that $\displaystyle f(t) = t^p - t - x$ is not solvable by radicals.

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- Aug 8th 2008, 11:53 AMThePerfectHackerSolvable by Radicals
Let $\displaystyle F = \overline{\mathbb{F}_p} (x)$, the function field of the algebraic closure of $\displaystyle \mathbb{F}_p$.

Show that $\displaystyle f(t) = t^p - t - x$ is not solvable by radicals.