English

Discrete Coxeter groups

Geometric Topology 2022-02-02 v2 Group Theory Metric Geometry

Abstract

Coxeter groups are a special class of groups generated by involutions. They play important roles in the various areas of mathematics. This survey particularly focuses on how one uses Coxeter groups to construct interesting examples of discrete subgroups of Lie groups.

Keywords

Cite

@article{arxiv.2109.06758,
  title  = {Discrete Coxeter groups},
  author = {Gye-Seon Lee and Ludovic Marquis},
  journal= {arXiv preprint arXiv:2109.06758},
  year   = {2022}
}

Comments

19 pages, 6 figures and 4 tables. To appear as a chapter of "Surveys in geometry"