Transactions of the American Mathematical Society, Vol. 362, No. 2 (FEBRUARY 2010), pp. 847-858 (12 pages) We use the geometry of the Davis complex of a Coxeter group to investigate finite index ...

The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ...

Coxeter groups are fundamental algebraic structures defined by generators corresponding to reflections and relations encoded in a Coxeter matrix. They provide a rich framework for understanding ...

This is a preview. Log in through your library . Abstract In a series of previous papers, we studied sortable elements in finite Coxeter groups, and the related Cambrian fans. We applied sortable ...

Consider the set S n of all rearrangments of the numbers 1,2,3,...,n. We may represent each rearrangement in S n by diagrams like the ones below, where we use oriented strings to indicate where each ...

To generations of schoolchildren, myself included, the name of HSM Coxeter stood for the wonder of geometry. The spectacular images - polyhedra radiating out in star shapes, and rotating rings of ...