If char K = p 0, then (a) K 1 / Pn is a field for

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If char K = p ≠ 0, then

(a) K1/Pn is a field for every n ≥ 0.

(b) K1/P∞ is a field.

(c) K1/Pn is a splitting field over K of {xPn - k | k ϵ K}.

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