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

Richard Scott

Algebraic & Geometric Topology 7 (2007) 285–300

DOI: 10.2140/agt.2007.7.285

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

Primary: 20F55, 20F67, 20F69

Secondary: 05A15

References
Publication

Received: 21 November 2006
Accepted: 21 December 2006
Published: 29 March 2007

Authors
Richard Scott
Department of Mathematics and Computer Science
Santa Clara University
Santa Clara CA 95053
USA