Bourbaki

Proposition 6

Tag 06QF, permanent. Cite it as [Bourbaki, Tag 06QF].

Algebra, chapter V, § 12. Finite fields

— The image under φn\varphi_n of the Frobenius automorphism σq\sigma_q is the residue class of qmod  nq \mod n.

Therefore, taking into account Prop. 6 of V, p. 84 :

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

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Cites

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Transcribed from the printed edition, 2003, Springer. Not translated.