Theorems · Theorem · group theory
Representation.FiniteCyclicGroup.coinvariantsKer_leftRegular_eq_ker
∀ {k : Type u_1} {G : Type u_2} [inst : CommRing k] [inst_1 : Group G] [Finite G],
Representation.Coinvariants.ker (Representation.leftRegular k G) =
((Finsupp.linearCombination k fun x => 1) ∘ₗ ↑(MonoidAlgebra.coeffLinearEquiv k)).ker- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites47
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Fintypeproof · cited by 7,736
- Submodulestatement · cited by 7,192
- Groupstatement and proof · cited by 6,238
- Finsuppstatement and proof · cited by 5,255
- Set.rangeproof · cited by 4,705
- mul_oneproof · cited by 3,885
- Finset.univproof · cited by 3,473
- Finitestatement and proof · cited by 3,029
- Finset.sum_congrproof · cited by 2,323
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