Let E be the splitting field of f (x) = x pn – x over Zp.
Chapter 22, Problem 37E(choose chapter or problem)
Let E be the splitting field of f (x) = x pn – x over Zp. Show that the set of zeros of f (x) in E is closed under addition, subtraction, multiplication, and division (by nonzero elements). (This exercise is referred to in the proof of Theorem 22.1.)
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