Growth in Right-Angled Groups and Monoids
Group Theory
2014-09-16 v1 Combinatorics
Abstract
We derive functional relationships between spherical generating functions of graph monoids, right-angled Artin groups and right-angled Coxeter groups. We use these relationships to express the spherical generating function of a right-angled Artin group in terms of the clique polynomial of its defining graph. We also describe algorithms for computing the geodesic generating functions of these structures.
Cite
@article{arxiv.1409.4142,
title = {Growth in Right-Angled Groups and Monoids},
author = {Jayadev S. Athreya and Amritanshu Prasad},
journal= {arXiv preprint arXiv:1409.4142},
year = {2014}
}
Comments
15 pages, 2 figures