Volume 7, issue 1 (2007)

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Growth series for vertex-regular CAT(0) cube complexes

Richard Scott

Algebraic & Geometric Topology 7 (2007) 285–300
Abstract

We show that the known formula for the growth series of a right-angled Coxeter group holds more generally for any CAT(0) cube complex whose vertex links all have the same $f$–polynomial.

Keywords
nonpositive curvature, cube complex, growth series
Mathematical Subject Classification 2000
Primary: 20F55, 20F67, 20F69
Secondary: 05A15