Theorems · Theorem · group theory
Subgroup.transferFocal_surjective
∀ {G : Type u_1} [inst : Group G] {p : ℕ} [Fact (Nat.Prime p)] (P : Sylow p G) [inst_2 : (↑P).FiniteIndex],
Function.Surjective ⇑(↑P).transferFocalThe Transfer homomorphism is surjective from G to P/P*.
- Defined in
- Mathlib.GroupTheory.Focal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Groupstatement and proof · cited by 6,238
- MonoidHomstatement · cited by 3,629
- Subgroupstatement · cited by 3,593
- Factstatement and proof · cited by 2,726
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Nat.Primestatement and proof · cited by 2,059
- Subgroup.indexproof · cited by 150
- Subgroup.FiniteIndexstatement and proof · cited by 113
- Sylowstatement and proof · cited by 103
- QuotientGroup.mk'proof · cited by 90
- Sylow.toSubgroupstatement and proof · cited by 86
Cited by1
Results whose statement or proof uses this declaration.
- Subgroup.transferFocal.quotientKerMulEquivQuotientFocalSubroupOfproof · cited by 0