What is the splitting field of the polynomial $X^{p^8}-1$ over $\mathbf F_p$?
I'm confused, is not $X^{p^8}-1=(X-1)^{p^8}$ then the splitting field is $\mathbf F_p$?
Thanks.
2026-03-31 12:14:21.1774959261
Splitting field in finite field
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