Let F be a field of characteristic p 0 Give an example to show that the map P F F given by P () a P for a F need not be an automorphism in the case that Fis infinite What may go wrong ...

The map 2 Z 2 x Z 2 x where x is an ind ...

Let F be a field of characteristic p 0. Give an example to show that the

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Let F be a field of characteristic p ≠ 0. Give an example to show that the map σ_P : F → F given by σ_P(α) = a^P for a ∈ F need not be an automorphism in the case that Fis infinite. What may go wrong?

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Let F be a field of characteristic p 0. Give an example to show that the

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