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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
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…