Small generators of cocompact arithmetic Fuchsian groups
  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 $\mathbf{SL}_2(\mathbb{R})$ from which we determine a set of small generators. 
Michelle Chu, Han Li
math.GR math.DS math.GT