Let E be an algebraic extension of a field F, and let be an automorphism of
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Let E be an algebraic extension of a field F, and let σ be an automorphism of E leaving F fixed. Let α ∈ E. Show that σ induces a permutation of the set of all zeros of irr(α, F) that are in E.
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By Corollary 485 maps each zero of irr F onto a zero of this same polyomial Because is an automorphi...View the full answer
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