Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products

Hyungryul Baik; Bram Petri; Jean Raimbault

Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products

Group Theory 2018-12-04 v3 Combinatorics

Authors: Hyungryul Baik , Bram Petri , Jean Raimbault

Abstract

We determine the asymptotic number of index $n$ subgroups in virtually cyclic right-angled Coxeter groups and their free products as $n\to\infty$ .

Keywords

subgroup growth virtually cyclic group right-angled coxeter group free product index n subgroups asymptotic enumeration

Cite

@article{arxiv.1806.10527,
  title  = {Subgroup growth of virtually cyclic right-angled Coxeter groups and their free products},
  author = {Hyungryul Baik and Bram Petri and Jean Raimbault},
  journal= {arXiv preprint arXiv:1806.10527},
  year   = {2018}
}