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Theorems · Theorem · group theory

Rep.FiniteCyclicGroup.resolution_quasiIso

∀ (k : Type u) {G : Type u} [inst : CommRing k] [inst_1 : CommGroup G] [inst_2 : Fintype G] (g : G),
  (∀ (x : G), x ∈ Subgroup.zpowers g) → QuasiIso (Rep.FiniteCyclicGroup.resolution.π k g)
Defined in
Mathlib.RepresentationTheory.Homological.FiniteCyclic
Cited by
0 results in Mathlib
Foundations
Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingCommGroupFintype
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Rep.FiniteCyclicGroup.resolution · cited by 6FiniteCyclicGroup.resolut…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCommRing · cited by 17173CommRingCategoryTheory.Functor.map · cited by 8698Functor.mapFintype · cited by 7736FintypeCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idmul_one · cited by 3885mul_oneEquiv.symm · cited by 3681Equiv.symmSubgroup · cited by 3593Subgroupzero_add · cited by 2366zero_addCategoryTheory.Category.comp_id · cited by 2119Category.comp_idLinearMap.comp · cited by 1642LinearMap.compModuleCat · cited by 1429ModuleCatLinearEquiv.toLinearMap · cited by 1171LinearEquiv.toLinearMapFiniteCyclicGroup.resolution_…CITED BYCITES

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