Theorems · Theorem · field theory

IsGaloisGroup.map_mulEquivAlgEquiv_fixingSubgroup

∀ (G : Type u_1) (K : Type u_3) (L : Type u_4) [inst : Group G] [inst_1 : Field K] [inst_2 : Field L]
  [inst_3 : Algebra K L] [inst_4 : MulSemiringAction G L] [inst_5 : Finite G] [inst_6 : IsGaloisGroup G K L]
  (F : IntermediateField K L),
  Subgroup.map (↑(IsGaloisGroup.mulEquivAlgEquiv G K L)) (fixingSubgroup G ↑F) = F.fixingSubgroup

Defined in

Mathlib.FieldTheory.Galois.IsGaloisGroup

Cited by

0 results in Mathlib

Foundations

Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

GroupFieldFieldAlgebraMulSemiringActionFiniteIsGaloisGroup