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.References
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Additional Information
- Michelle Chu
- Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78750
- MR Author ID: 974106
- Email: mchu@math.utexas.edu
- Han Li
- Affiliation: Department of Mathematics and Computer Sciences, Wesleyan University, Middletown, Connecticut 06457
- MR Author ID: 1080132
- Email: hli03@wesleyan.edu
- Received by editor(s): February 8, 2015
- Received by editor(s) in revised form: December 23, 2015, and February 23, 2016
- Published electronically: June 30, 2016
- Additional Notes: The first author was supported in part by NSF Grant DMS-1148490.
The second author was supported in part by an AMS Simons Travel Grant. - Communicated by: Nimish Shah
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 5121-5127
- MSC (2010): Primary 20H10, 11F06
- DOI: https://doi.org/10.1090/proc/13177
- MathSciNet review: 3556258