Coxeter Elements
Coxeter elements of, considered as the symmetric group on n elements, are n-cycles: for simple reflections the adjacent transpositions, a Coxeter element is the n-cycle .
The dihedral group Dihm is generated by two reflections that form an angle of, and thus their product is a rotation by .
Read more about this topic: Coxeter Element
Famous quotes containing the word elements:
“In spite of all their kind some elements of worth
With difficulty persist here and there on earth.”
—Hugh MacDiarmid (18921978)