Yago Antolín, Laura Ciobanu
Published 2012-03-13, updated 2012-07-23Version 2
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.
Comments: 27 pages, 5 figures. Some typos and minor errors were corrected
Small roots, low elements, and the weak order in Coxeter groups
Rotation groups, mediangle graphs, and periagroups: a unified point of view on Coxeter groups and graph products of groups
Coxeter Groups, 2-Completion, Perimeter Reduction and Subgroup Separability
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