---
_id: '42791'
abstract:
- lang: eng
  text: We describe a practical algorithm to solve the constructive membership problem
    for discrete two-generator subgroups of SL₂(R) or PSL₂(R). This algorithm has
    been implemented in Magma for groups defined over real algebraic number fields.
author:
- first_name: Markus
  full_name: Kirschmer, Markus
  id: '82258'
  last_name: Kirschmer
- first_name: Marion G.
  full_name: Rüther, Marion G.
  last_name: Rüther
citation:
  ama: Kirschmer M, Rüther MG. The constructive membership problem for discrete two-generator
    subgroups of SL(2,R). <i>Journal of Algebra</i>. 2017;480:519-548. doi:<a href="https://doi.org/10.1016/j.jalgebra.2017.02.029">10.1016/j.jalgebra.2017.02.029</a>
  apa: Kirschmer, M., &#38; Rüther, M. G. (2017). The constructive membership problem
    for discrete two-generator subgroups of SL(2,R). <i>Journal of Algebra</i>, <i>480</i>,
    519–548. <a href="https://doi.org/10.1016/j.jalgebra.2017.02.029">https://doi.org/10.1016/j.jalgebra.2017.02.029</a>
  bibtex: '@article{Kirschmer_Rüther_2017, title={The constructive membership problem
    for discrete two-generator subgroups of SL(2,R)}, volume={480}, DOI={<a href="https://doi.org/10.1016/j.jalgebra.2017.02.029">10.1016/j.jalgebra.2017.02.029</a>},
    journal={Journal of Algebra}, publisher={Elsevier BV}, author={Kirschmer, Markus
    and Rüther, Marion G.}, year={2017}, pages={519–548} }'
  chicago: 'Kirschmer, Markus, and Marion G. Rüther. “The Constructive Membership
    Problem for Discrete Two-Generator Subgroups of SL(2,R).” <i>Journal of Algebra</i>
    480 (2017): 519–48. <a href="https://doi.org/10.1016/j.jalgebra.2017.02.029">https://doi.org/10.1016/j.jalgebra.2017.02.029</a>.'
  ieee: 'M. Kirschmer and M. G. Rüther, “The constructive membership problem for discrete
    two-generator subgroups of SL(2,R),” <i>Journal of Algebra</i>, vol. 480, pp.
    519–548, 2017, doi: <a href="https://doi.org/10.1016/j.jalgebra.2017.02.029">10.1016/j.jalgebra.2017.02.029</a>.'
  mla: Kirschmer, Markus, and Marion G. Rüther. “The Constructive Membership Problem
    for Discrete Two-Generator Subgroups of SL(2,R).” <i>Journal of Algebra</i>, vol.
    480, Elsevier BV, 2017, pp. 519–48, doi:<a href="https://doi.org/10.1016/j.jalgebra.2017.02.029">10.1016/j.jalgebra.2017.02.029</a>.
  short: M. Kirschmer, M.G. Rüther, Journal of Algebra 480 (2017) 519–548.
date_created: 2023-03-07T08:28:11Z
date_updated: 2023-04-04T09:10:14Z
department:
- _id: '102'
doi: 10.1016/j.jalgebra.2017.02.029
extern: '1'
intvolume: '       480'
keyword:
- Algebra and Number Theory
language:
- iso: eng
page: 519-548
publication: Journal of Algebra
publication_identifier:
  issn:
  - 0021-8693
publication_status: published
publisher: Elsevier BV
status: public
title: The constructive membership problem for discrete two-generator subgroups of
  SL(2,R)
type: journal_article
user_id: '93826'
volume: 480
year: '2017'
...