article published Markus Kirschmer author 82258 Marion G. Rüther author 102 department 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. Elsevier BV2017 eng Algebra and Number Theory 0021-869310.1016/j.jalgebra.2017.02.029 480519-548 yes 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> @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} } 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>. M. Kirschmer, M.G. Rüther, Journal of Algebra 480 (2017) 519–548. 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>. 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> 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>. 427912023-03-07T08:28:11Z2023-04-04T09:10:14Z