Small generators of cocompact arithmetic Fuchsian groups

Michelle Chu; Han Li

doi:10.1090/proc/13177

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arXiv · 1603.00926

Small generators of cocompact arithmetic Fuchsian groups

Michelle Chu·Han Li

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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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Michelle Chu, Han Li. 2016-03-02. Small generators of cocompact arithmetic Fuchsian groups. https://doi.org/10.1090/proc%2F13177

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