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arxiv: 1203.2752 · v2 · pith:72OT3PP7new · submitted 2012-03-13 · 🧮 math.GR · math.CO

Geodesic growth in right-angled and even Coxeter groups

classification 🧮 math.GR math.CO
keywords coxetergeodesicgrowthright-angledevengraphgroupsartin
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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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