Subgroup growth of right-angled Artin and Coxeter groups
Group Theory
2019-09-11 v1 Geometric Topology
Abstract
We determine the factorial growth rate of the number of finite index subgroups of right-angled Artin groups as a function of the index. This turns out to depend solely on the independence number of the defining graph. We also make a conjecture for right-angled Coxeter groups and prove that it holds in a limited setting.
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Cite
@article{arxiv.1805.03893,
title = {Subgroup growth of right-angled Artin and Coxeter groups},
author = {Hyungryul Baik and Bram Petri and Jean Raimbault},
journal= {arXiv preprint arXiv:1805.03893},
year = {2019}
}
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34 pages