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.GR2024
The Bruhat Order of a Finite Coxeter Group and Elnitsky Tilings
Robert Nicolaides, Peter Rowley
Suppose that is a finite Coxeter group and a standard parabolic subgroup of . The main result proved here is that for any for any and reduced expression of $…
math.GR2024
Finite Coxeter Groups and Generalized Elnitsky Tilings
Robert Nicolaides, Peter Rowley
In [5], Elnitsky constructed three elegant bijections between classes of reduced words for Type , and families of Coxeter groups and certain t…