Theorems · Definition · group theory
groupCohomology
{k G : Type u} → [inst : CommRing k] → [inst_1 : Group G] → Rep.{u, u, u} k G → ℕ → ModuleCat kThe group cohomology of a k-linear G-representation A, as the cohomology of its complex
of inhomogeneous cochains.
- Cited by
- 60 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
- groupCohomology.inhomogeneousCochainsproof · cited by 83
Cited by76
Results whose statement or proof uses this declaration.
- groupCohomology.mapstatement · cited by 30
- groupCohomology.πstatement · cited by 25
- groupCohomology.H1proof · cited by 18
- groupCohomology.H0proof · cited by 16
- groupCohomology.H2proof · cited by 10
- groupCohomology.δstatement · cited by 8
- groupCohomology.functorproof · cited by 4
- Rep.FiniteCyclicGroup.groupCohomologyπOddstatement · cited by 3
- groupCohomology.H1π_comp_mapstatement · cited by 3
- groupCohomology.map_H0Iso_hom_fstatement and proof · cited by 3
- groupCohomology.δ_applystatement · cited by 2
- groupCohomology.π_comp_H0IsoOfIsTrivial_homstatement · cited by 2