Geodesic growth in right-angled and even Coxeter groups

Details Geodesic growth in right-angled and even Coxeter groups Geodesic growth in right-angled and even Coxeter groups

2012-03-13

arxiv.org/abs/1203.2752v1

Mathematics

Group Theory

27 pages, 5 figures

Scientific paper

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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