Theorems · Definition · group theory
QuotientGroup.homQuotientZPowOfHom
{A B : Type u} →
[inst : CommGroup A] →
[inst_1 : CommGroup B] → (A →* B) → (n : ℤ) → A ⧸ (zpowGroupHom n).range →* B ⧸ (zpowGroupHom n).rangeThe map of quotients by powers of an integer induced by a group homomorphism.
- Defined in
- Mathlib.GroupTheory.QuotientGroup.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement and proof · cited by 3,629
- Subgroupstatement · cited by 3,593
- HasQuotient.Quotientstatement · cited by 2,301
- CommGroupstatement and proof · cited by 990
- MonoidHom.compproof · cited by 469
- MonoidHom.rangestatement and proof · cited by 314
- QuotientGroup.mk'proof · cited by 90
- zpowGroupHomstatement and proof · cited by 12
- QuotientGroup.liftproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- QuotientGroup.equivQuotientZPowOfEquivproof · cited by 3
- QuotientGroup.homQuotientZPowOfHom_idstatement · cited by 0
- QuotientGroup.homQuotientZPowOfHom_compstatement · cited by 0
- QuotientGroup.homQuotientZPowOfHom_comp_of_rightInversestatement · cited by 0