Geodesic growth in right-angled and even Coxeter groups
Group Theory
2012-07-24 v2 Combinatorics
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.
Keywords
Cite
@article{arxiv.1203.2752,
title = {Geodesic growth in right-angled and even Coxeter groups},
author = {Yago Antolín and Laura Ciobanu},
journal= {arXiv preprint arXiv:1203.2752},
year = {2012}
}
Comments
27 pages, 5 figures. Some typos and minor errors were corrected