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arXiv · 1805.03893

Subgroup growth of right-angled Artin and Coxeter groups

Hyungryul Baik·Bram Petri·Jean Raimbault
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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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Hyungryul Baik, Bram Petri, Jean Raimbault. 2018-05-10. Subgroup growth of right-angled Artin and Coxeter groups. https://doi.org/10.1112/jlms.12277

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