Theorems · Definition · category theory

CategoryTheory.PreGaloisCategory.autGaloisSystem

{C : Type u₁} →
  [inst : CategoryTheory.Category.{u₂, u₁} C] →
    [inst_1 : CategoryTheory.GaloisCategory C] →
      (F : CategoryTheory.Functor C FintypeCat) →
        CategoryTheory.Functor (CategoryTheory.PreGaloisCategory.PointedGaloisObject F) GrpCat

The diagram sending each pointed Galois object to its automorphism group as an object of C.

Defined in

Mathlib.CategoryTheory.Galois.Prorepresentability

Cited by

6 results in Mathlib

Foundations

Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GaloisCategory