Freely Braided Elements in Coxeter Groups, Ii

  title={Freely Braided Elements in Coxeter Groups, Ii},
  author={R. M. Green},
We continue the study of freely braided elements of simply laced Coxeter groups, which we introduced in a previous work. A known upper bound for the number of commutation classes of reduced expressions for an element of a simply laced Coxeter group is shown to be achieved only when the element is freely braided; this establishes the converse direction of a previous result. It is also shown that a simply laced Coxeter group has finitely many freely braided elements if and only if it has finitely… CONTINUE READING

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