Theorems · Definition · group theory

CoxeterMatrix.Group

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

The Coxeter group associated to a Coxeter matrix $M$; that is, the group $$\langle \{s_i\}_{i \in B} \vert \{(s_i s_{i'})^{M_{i, i'}}\}_{i, i' \in B} \rangle.$$

Defined in

Mathlib.GroupTheory.Coxeter.Basic

Cited by

11 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound