Theorems · Definition · group theory
CoxeterMatrix.reindexGroupEquiv
{B : Type u_1} → {B' : Type u_2} → (M : CoxeterMatrix B) → (e : B ≃ B') → (CoxeterMatrix.reindex e M).Group ≃* M.GroupThe isomorphism between the Coxeter group associated to the reindexed matrix M.reindex e and
the Coxeter group associated to M.
- Defined in
- Mathlib.GroupTheory.Coxeter.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- MulEquivstatement · cited by 1,142
- MulEquiv.symmproof · cited by 482
- CoxeterMatrixstatement and proof · cited by 140
- Subgroup.normalClosureproof · cited by 35
- QuotientGroup.congrproof · cited by 16
- CoxeterMatrix.Groupstatement · cited by 11
- FreeGroup.freeGroupCongrproof · cited by 8
- CoxeterMatrix.reindexstatement and proof · cited by 6
- CoxeterMatrix.relationsSetproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- CoxeterSystem.reindexproof · cited by 2
- CoxeterMatrix.reindexGroupEquiv_apply_simplestatement · cited by 0
- CoxeterMatrix.reindexGroupEquiv_symm_apply_simplestatement · cited by 0
- CoxeterSystem.reindex_mulEquivstatement · cited by 0