Small generators of cocompact arithmetic Fuchsian groups

Chu, Michelle; Li, Han

doi:10.1090/proc/13177

Small generators of cocompact arithmetic Fuchsian groups
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by Michelle Chu and Han Li PDF

Proc. Amer. Math. Soc. 144 (2016), 5121-5127 Request permission

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.

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