Abstract
Given a graph Γ, one can associate a right-angled Coxeter group W and a cube complex Σ on which W acts. By identifying W with the vertex set of Σ, one obtains a growth series for W defined as W(t)= ∑w∈Wtl(w), where l(w) denotes the minimum length of an edge path in Σ from the vertex 1 to the vertex w. The series W(t) is known to be a rational function. We compute some examples and investigate the poles and zeros of this function.
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