Theorems · Theorem · group theory
groupHomology.H1CoresCoinf_g
∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] (A : Rep.{u, u, u} k G) (S : Subgroup G) [inst_2 : S.Normal],
(groupHomology.H1CoresCoinf A S).g = groupHomology.map (QuotientGroup.mk' S) (A.toCoinvariantsMkQ S) 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingGroupSubgroup.Normal
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Cites15
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
- HasQuotient.Quotientstatement · cited by 2,301
- ModuleCatstatement · cited by 1,429
- Repstatement and proof · cited by 843
- CategoryTheory.ShortComplex.gstatement and proof · cited by 658
- Subgroup.Normalstatement and proof · cited by 334
- QuotientGroup.mk'statement · cited by 90
- groupHomologystatement · cited by 59
- groupHomology.mapstatement · cited by 30
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