English

Small generators of cocompact arithmetic Fuchsian groups

Group Theory 2020-10-28 v2 Dynamical Systems Geometric Topology

Abstract

In the study of Fuchsian groups, it is a nontrivial problem to determine a set of generators. Using a dynamical approach we construct for any cocompact arithmetic Fuchsian group a fundamental region in SL2(R)\mathbf{SL}_2(\mathbb{R}) from which we determine a set of small generators.

Keywords

Cite

@article{arxiv.1603.00926,
  title  = {Small generators of cocompact arithmetic Fuchsian groups},
  author = {Michelle Chu and Han Li},
  journal= {arXiv preprint arXiv:1603.00926},
  year   = {2020}
}

Comments

added references and some minor changes

R2 v1 2026-06-22T13:02:41.162Z