English

Computing fundamental domains for Fuchsian groups

Number Theory 2009-01-16 v4

Abstract

We exhibit an algorithm to compute a Dirichlet domain for a cofinite Fuchsian group Gamma. As a consequence, we compute the invariants of Gamma, including an explicit finite presentation for Gamma.

Cite

@article{arxiv.0802.0196,
  title  = {Computing fundamental domains for Fuchsian groups},
  author = {John Voight},
  journal= {arXiv preprint arXiv:0802.0196},
  year   = {2009}
}

Comments

18 pages, uses pstricks; corrections made as suggested by referree

R2 v1 2026-06-21T10:08:50.217Z