Why is $\mathbb{F}_{p^r}$ the splitting field of the polynomial $X^{p^r-1}-1$? This is mentioned on my lecture notes but I don’t have a reference for this fact (and I couldn’t find it online).
2026-03-28 11:34:07.1774697647
Why is $\mathbb{F}_{p^r}$ the splitting field of the polynomial $X^{p^r-1}-1$?
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