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Theorems · Definition · group theory

CoxeterSystem.braidWord

{B : Type u_1} → CoxeterMatrix B → B → B → List B

The word of length M i i' that alternates between i and i', ending with i'.

Defined in
Mathlib.GroupTheory.Coxeter.Basic
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses no axioms
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CoxeterSystem.wordProd_braidWord_eq · cited by 0CoxeterSystem.wordProd_br…CoxeterMatrix · cited by 140CoxeterMatrixCoxeterSystem.alternatingWord · cited by 14CoxeterSystem.alternating…CoxeterMatrix.M · cited by 13CoxeterMatrix.MCoxeterSystem.braidWordCITED BYCITES

Cites3

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Cited by1

Results whose statement or proof uses this declaration.