Theorems · Definition · group theory
Rep.toCoinvariantsMkQ
{k : Type u} →
{G : Type v} →
[inst : CommRing k] →
[inst_1 : Group G] → (A : Rep.{w, u, v} k G) → (S : Subgroup G) → [inst_2 : S.Normal] → A ⟶ A.toCoinvariants SThe quotient map A → A_S as a representation morphism.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingGroupSubgroup.Normal
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- Groupstatement and proof · cited by 6,238
- Subgroupstatement and proof · cited by 3,593
- Repstatement and proof · cited by 843
- Rep.ρproof · cited by 356
- Subgroup.Normalstatement and proof · cited by 334
- Rep.ofHomproof · cited by 45
- Rep.toCoinvariantsstatement · cited by 5
- Representation.toCoinvariantsMkQproof · cited by 1
Cited by7
Results whose statement or proof uses this declaration.
- Rep.coinvariantsShortComplexproof · cited by 8
- groupHomology.H1CoresCoinfproof · cited by 6
- groupHomology.coinfNatTransproof · cited by 1
- Rep.coinvariantsShortComplex_gstatement · cited by 0
- groupHomology.coinfNatTrans_appstatement · cited by 0
- groupHomology.H1CoresCoinf_gstatement · cited by 0
- groupHomology.H1CoresCoinf_exactproof · cited by 0