Computing fundamental domains for Fuchsian groups
John Voight1
1 Department of Mathematics and Statistics 16 Colchester Avenue University of Vermont Burlington, Vermont 05401-1455, USA
Journal de théorie des nombres de Bordeaux, Volume 21 (2009) no. 2, pp. 467-489.

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

Nous présentons un algorithme pour calculer un domaine de Dirichlet pour un groupe Fuchsien Γ, avec aire cofinie. Comme conséquence, nous calculons les invariants de Γ, ainsi qu’une présentation finie explicite pour Γ.

DOI: 10.5802/jtnb.683
John Voight 1

1 Department of Mathematics and Statistics 16 Colchester Avenue University of Vermont Burlington, Vermont 05401-1455, USA 
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John Voight. Computing fundamental domains  for Fuchsian groups. Journal de théorie des nombres de Bordeaux, Volume 21 (2009) no. 2, pp. 467-489. doi : 10.5802/jtnb.683. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.683/

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