Theorems · Definition · group theory
Abelianization.of
{G : Type u} → [inst : Group G] → G →* Abelianization Gof is the canonical projection from G to its abelianization.
- Defined in
- Mathlib.GroupTheory.Abelianization.Defs
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- QuotientGroup.mkproof · cited by 196
- Abelianizationstatement · cited by 32
Cited by26
Results whose statement or proof uses this declaration.
- FreeAbelianGroup.ofproof · cited by 40
- FreeAbelianGroup.lift_apply_ofproof · cited by 12
- Abelianization.liftproof · cited by 9
- Abelianization.mapproof · cited by 5
- Abelianization.hom_extstatement and proof · cited by 4
- groupHomology.H1ToTensorOfIsTrivialproof · cited by 3
- Abelianization.equivOfCommproof · cited by 2
- groupHomology.H1ToTensorOfIsTrivial_H1π_singlestatement and proof · cited by 1
- Abelianization.lift_apply_ofstatement · cited by 1
- IsZGroup.isCyclic_commutatorproof · cited by 1
- Abelianization.ker_ofstatement · cited by 1
- Abelianization.lift_ofstatement · cited by 1