Theorems · Theorem · group theory
Equiv.Perm.Basis.toCentralizer_equivariant
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α] {g : Equiv.Perm α} (a : g.Basis)
(c : ↥g.cycleFactorsFinset) (τ : ↥(Equiv.Perm.OnCycleFactors.range_toPermHom' g)), a.toCentralizer τ • c = ↑τ c- Defined in
- Mathlib.GroupTheory.Perm.Centralizer
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Finsetstatement · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Equiv.Permstatement and proof · cited by 1,375
- Subtype.propproof · cited by 505
- Equiv.Perm.supportproof · cited by 230
- Equiv.Perm.cycleFactorsFinsetstatement and proof · cited by 96
- Equiv.Perm.extproof · cited by 75
- Subgroup.centralizerstatement · cited by 65
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.Perm.Basis.toPermHom_apply_toCentralizerproof · cited by 1