Theorems · Definition · group theory
AddSubgroup.transferFocal
{G : Type u_1} → [inst : AddGroup G] → (H : AddSubgroup G) → [H.FiniteIndex] → G →+ ↥H ⧸ H.focalAddSubgroupOfThe transfer homomorphism V : G → H/H* from G the abelian quotient H/H*.
- Defined in
- Mathlib.GroupTheory.Focal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- AddMonoidHomstatement · cited by 3,230
- HasQuotient.Quotientstatement · cited by 2,301
- AddSubgroup.FiniteIndexstatement and proof · cited by 66
- QuotientAddGroup.mk'proof · cited by 60
- AddSubgroup.focalAddSubgroupOfstatement and proof · cited by 5
- AddMonoidHom.transferproof · cited by 1
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