2 papers
math.GR2024
Combinatorics of cone types in Coxeter groups
Yeeka Yau
In this article, we establish some new combinatorial properties of cone types in Coxeter groups. Firstly, we show that for any element in a Coxeter group and root in it…
math.GR2018
Coxeter systems for which the Brink-Howlett automaton is minimal
James Parkinson, Yeeka Yau
In this article we classify the Coxeter systems for which the Brink-Howlett automaton is minimal. We show that this automaton is minimal if and only if each elementary root is supp…