Theorems · Definition · category theory
GrpCat.abelianize
CategoryTheory.Functor GrpCat CommGrpCat
The abelianization functor Group ⥤ CommGroup sending a group G to its abelianization Gᵃᵇ.
- Defined in
- Mathlib.Algebra.Category.Grp.Adjunctions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- MonoidHom.compproof · cited by 469
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierproof · cited by 125
- CommGrpCatstatement · cited by 74
- GrpCat.Hom.homproof · cited by 47
- Abelianizationproof · cited by 32
- CommGrpCat.ofproof · cited by 28
- Abelianization.ofproof · cited by 20
- CommGrpCat.ofHomproof · cited by 19
Cited by1
Results whose statement or proof uses this declaration.
- GrpCat.abelianizeAdjstatement · cited by 0