P. Rowley

collaborators

3 papers

math.GR2025

The Deletion Order and Coxeter Groups

Robert Nicolaides, Peter Rowley

The deletion order of a finitely generated Coxeter group W is a total order on the elements which, as is proved, is a refinement of the Bruhat order. This order is applied in [8] t…

math.GR2025

Abstract Regular Polytopes of Finite Irreducible Coxeter Groups

Malcolm Hoong Wai Chen, Peter Rowley

Here, for $W$ the Coxeter group $D_{n}$ where $n > 4$ , it is proved that the maximal rank of an abstract regular polytope for $W$ is $n - 1$ if $n$ is even and $n$ if $n$ is…

math.GR2024

The Bruhat Order of a Finite Coxeter Group and Elnitsky Tilings

Robert Nicolaides, Peter Rowley

Suppose that $W$ is a finite Coxeter group and $W_{J}$ a standard parabolic subgroup of $W$ . The main result proved here is that for any for any $w \in W$ and reduced expression of $…