Theorems · Theorem · number theory

FiniteField.algebraMap_norm_eq_pow

∀ {K : Type u_1} {K' : Type u_2} [inst : Field K] [inst_1 : Field K'] [inst_2 : Algebra K K'] [Finite K'] {x : K'},
  (algebraMap K K') ((Algebra.norm K) x) = x ^ ((Nat.card K' - 1) / (Nat.card K - 1))

Defined in

Mathlib.FieldTheory.Finite.GaloisField

Cited by

1 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FieldFieldAlgebraFinite