Abstract Algebra: Theory and Applications · Problem 22.4.21

Galois Theory — Thomas Judson

Mathematics — Abstract Algebra · finite-fields-frobenius

Problem

Prove that the Frobenius map Φ:GF(pn)→GF(pn)\Phi : \mathrm{GF}(p^n) \to \mathrm{GF}(p^n) given by Φ:α↦αp\Phi : \alpha \mapsto \alpha^p is an automorphism of order nn.

Related theory

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