Prove that there are infinitely many degree 5 extensions of $\mathbb{F}_{121}(x)$.
I know that $\mathbb{F}_{121}$ is isomorphic to the splitting field of $x^{121}-x$ over $\mathbb{F}_{11}$, but I'm not sure if this helps/how to proceed.
2026-04-12 07:42:59.1775979779
Extensions of a field?
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