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Theorems · Definition · field theory

FiniteGaloisIntermediateField.finGaloisGroup

{k : Type u_1} →
  {K : Type u_2} →
    [inst : Field k] → [inst_1 : Field K] → [inst_2 : Algebra k K] → FiniteGaloisIntermediateField k K → FiniteGrp.{u_2}

The (finite) Galois group Gal(L / k) associated to a L : FiniteGaloisIntermediateField k K L.

Defined in
Mathlib.FieldTheory.Galois.Profinite
Cited by
2 results in Mathlib
Foundations
Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFieldAlgebra
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

finGaloisGroupMap · cited by 2finGaloisGroupMapfinGaloisGroupFunctor · cited by 2finGaloisGroupFunctorfinGaloisGroupMap.map_id · cited by 0finGaloisGroupMap.map_idfinGaloisGroupMap.map_comp · cited by 0finGaloisGroupMap.map_compAlgebra · cited by 11388AlgebraField · cited by 7404FieldAlgEquiv · cited by 1681AlgEquivFiniteGaloisIntermediateField · cited by 32FiniteGaloisIntermediateF…FiniteGaloisIntermediateField.toIntermediateField · cited by 25FiniteGaloisIntermediateF…FiniteGrp · cited by 11FiniteGrpFiniteGrp.of · cited by 1FiniteGrp.ofFiniteGaloisIntermediateField…CITED BYCITES

Cites7

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Cited by4

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