Theorems · Definition · group theory
groupHomology
{k G : Type u} → [inst : CommRing k] → [inst_1 : Group G] → Rep.{u, u, u} k G → ℕ → ModuleCat kThe group homology of a k-linear G-representation A, as the homology of its complex
of inhomogeneous chains.
- Cited by
- 59 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Groupstatement and proof · cited by 6,238
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- HomologicalComplex.homologyproof · cited by 209
- groupHomology.inhomogeneousChainsproof · cited by 90
Cited by75
Results whose statement or proof uses this declaration.
- groupHomology.mapstatement · cited by 30
- groupHomology.H1proof · cited by 29
- groupHomology.πstatement · cited by 29
- groupHomology.H0proof · cited by 25
- groupHomology.H2proof · cited by 13
- groupHomology.δstatement · cited by 7
- groupHomology.π_comp_H0Iso_homstatement · cited by 4
- groupHomology.functorproof · cited by 4
- groupHomology.H1π_comp_mapstatement · cited by 3
- groupHomology.π_comp_H1Iso_homstatement · cited by 3
- groupHomology.π_comp_H2Iso_homstatement · cited by 3
- groupHomology_induction_onstatement and proof · cited by 3