Geodesic growth in right-angled and even Coxeter groups

Published 13 Mar 2012 in math.GR and math.CO | (1203.2752v2)

Abstract: The objective of this paper is to detect which combinatorial properties of a regular graph can completely determine the geodesic growth of the right-angled Coxeter or Artin group this graph defines, and to provide the first examples of right-angled and even Coxeter groups with the same geodesic growth series.

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