Coxeter Element

In mathematics, a Coxeter element is an element of an irreducible Coxeter group formed as a product of all of the group's simple reflections; the specific element produced depends on the order in which the reflections are multiplied, but every such ordering yields conjugate elements sharing the same order, called the Coxeter number of the group. Coxeter elements are named after the British-Canadian geometer H. S. M. Coxeter, who introduced Coxeter groups in 1934 as an abstraction of reflection groups. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/