Small generators of cocompact arithmetic Fuchsian groups

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 ${\mathbf{SL}}_2(\mathbb{R})$ from which we determine a set of small generators.

added references and some minor changes

Cited by in corpus (3)

• Theta functions, fourth moments of eigenforms, and the sup-norm problem I
• Small diameters and generators for arithmetic lattices in ${\mathrm{SL}}_2(\mathbb{R})$ and certain Ramanujan graphs
• Improved computation of fundamental domains for arithmetic Fuchsian groups