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Theorems · Theorem · group theory

Rep.coinvariantsShortComplex_shortExact

∀ {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.coinvariantsShortComplex S).ShortExact
Defined in
Mathlib.RepresentationTheory.Coinvariants
Cited by
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Foundations
Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingGroupSubgroup.Normal
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DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingGroup · cited by 6238GroupCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homSubgroup · cited by 3593SubgroupModuleCat · cited by 1429ModuleCatCategoryTheory.ShortComplex.X₂ · cited by 1115ShortComplex.X₂ModuleCat.carrier · cited by 997ModuleCat.carrierRep · cited by 843RepCategoryTheory.ShortComplex.g · cited by 658ShortComplex.gMonoidHom.comp · cited by 469MonoidHom.compRep.ρ · cited by 356Rep.ρSubgroup.Normal · cited by 334Subgroup.NormalCategoryTheory.forget₂ · cited by 260CategoryTheory.forget₂CategoryTheory.ShortComplex.ShortExact · cited by 232ShortComplex.ShortExactRep.coinvariantsShortComplex_…CITED BYCITES

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