[{"publication_status":"published","date_updated":"2023-04-04T07:55:16Z","intvolume":"        57","title":"Computing with subgroups of the modular group ","year":"2014","publication_identifier":{"issn":["0017-0895","1469-509X"]},"author":[{"full_name":"Kirschmer, Markus","first_name":"Markus","last_name":"Kirschmer","id":"82258"},{"last_name":"LEEDHAM-GREEN","first_name":"CHARLES","full_name":"LEEDHAM-GREEN, CHARLES"}],"doi":"10.1017/s0017089514000202","language":[{"iso":"eng"}],"extern":"1","abstract":[{"lang":"eng","text":"We exhibit a practical algorithm for solving the constructive membership problem for discrete free subgroups of rank 2 in PSL₂(R) or SL₂(R). This algorithm, together with methods for checking whether a two-generator subgroup of PSL₂(R) or SL₂(R) is discrete and free, have been implemented in Magma for groups defined over real algebraic number fields."}],"publication":"Glasgow Mathematical Journal","issue":"1","type":"journal_article","keyword":["General Mathematics"],"department":[{"_id":"102"}],"date_created":"2023-03-07T08:47:42Z","status":"public","user_id":"93826","volume":57,"page":"173-180","publisher":"Cambridge University Press (CUP)","_id":"42801","citation":{"mla":"Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” <i>Glasgow Mathematical Journal</i>, vol. 57, no. 1, Cambridge University Press (CUP), 2014, pp. 173–80, doi:<a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>.","bibtex":"@article{Kirschmer_LEEDHAM-GREEN_2014, title={Computing with subgroups of the modular group }, volume={57}, DOI={<a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>}, number={1}, journal={Glasgow Mathematical Journal}, publisher={Cambridge University Press (CUP)}, author={Kirschmer, Markus and LEEDHAM-GREEN, CHARLES}, year={2014}, pages={173–180} }","ama":"Kirschmer M, LEEDHAM-GREEN C. Computing with subgroups of the modular group . <i>Glasgow Mathematical Journal</i>. 2014;57(1):173-180. doi:<a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>","ieee":"M. Kirschmer and C. LEEDHAM-GREEN, “Computing with subgroups of the modular group ,” <i>Glasgow Mathematical Journal</i>, vol. 57, no. 1, pp. 173–180, 2014, doi: <a href=\"https://doi.org/10.1017/s0017089514000202\">10.1017/s0017089514000202</a>.","apa":"Kirschmer, M., &#38; LEEDHAM-GREEN, C. (2014). Computing with subgroups of the modular group . <i>Glasgow Mathematical Journal</i>, <i>57</i>(1), 173–180. <a href=\"https://doi.org/10.1017/s0017089514000202\">https://doi.org/10.1017/s0017089514000202</a>","short":"M. Kirschmer, C. LEEDHAM-GREEN, Glasgow Mathematical Journal 57 (2014) 173–180.","chicago":"Kirschmer, Markus, and CHARLES LEEDHAM-GREEN. “Computing with Subgroups of the Modular Group .” <i>Glasgow Mathematical Journal</i> 57, no. 1 (2014): 173–80. <a href=\"https://doi.org/10.1017/s0017089514000202\">https://doi.org/10.1017/s0017089514000202</a>."}},{"citation":{"short":"H. Glöckner, Glasgow Mathematical Journal 50 (2008) 271–288.","chicago":"Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the General Curve Lemma of Convenient Differential Calculus.” <i>Glasgow Mathematical Journal</i> 50, no. 2 (2008): 271–288. <a href=\"https://doi.org/10.1017/S0017089508004199\">https://doi.org/10.1017/S0017089508004199</a>.","apa":"Glöckner, H. (2008). Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus. <i>Glasgow Mathematical Journal</i>, <i>50</i>(2), 271–288. <a href=\"https://doi.org/10.1017/S0017089508004199\">https://doi.org/10.1017/S0017089508004199</a>","ieee":"H. Glöckner, “Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus,” <i>Glasgow Mathematical Journal</i>, vol. 50, no. 2, pp. 271–288, 2008, doi: <a href=\"https://doi.org/10.1017/S0017089508004199\">10.1017/S0017089508004199</a>.","ama":"Glöckner H. Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus. <i>Glasgow Mathematical Journal</i>. 2008;50(2):271–288. doi:<a href=\"https://doi.org/10.1017/S0017089508004199\">10.1017/S0017089508004199</a>","bibtex":"@article{Glöckner_2008, title={Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus}, volume={50}, DOI={<a href=\"https://doi.org/10.1017/S0017089508004199\">10.1017/S0017089508004199</a>}, number={2}, journal={Glasgow Mathematical Journal}, author={Glöckner, Helge}, year={2008}, pages={271–288} }","mla":"Glöckner, Helge. “Ultrametric and Non-Locally Convex Analogues of the General Curve Lemma of Convenient Differential Calculus.” <i>Glasgow Mathematical Journal</i>, vol. 50, no. 2, 2008, pp. 271–288, doi:<a href=\"https://doi.org/10.1017/S0017089508004199\">10.1017/S0017089508004199</a>."},"quality_controlled":"1","page":"271–288","_id":"64685","user_id":"178","volume":50,"status":"public","date_created":"2026-02-26T11:22:06Z","keyword":["26E15","26E20","26E30","46A16","46S10"],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"issue":"2","publication":"Glasgow Mathematical Journal","language":[{"iso":"eng"}],"doi":"10.1017/S0017089508004199","year":"2008","title":"Ultrametric and non-locally convex analogues of the general curve Lemma of convenient differential calculus","author":[{"id":"178","full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner"}],"publication_identifier":{"issn":["0017-0895"]},"date_updated":"2026-02-27T08:19:56Z","article_type":"original","intvolume":"        50"},{"language":[{"iso":"eng"}],"doi":"10.1017/S0017089505002557","author":[{"id":"178","last_name":"Glöckner","first_name":"Helge","full_name":"Glöckner, Helge"}],"publication_identifier":{"issn":["0017-0895"]},"year":"2005","title":"Contraction groups for tidy automorphisms of totally disconnected groups","article_type":"original","intvolume":"        47","date_updated":"2026-02-27T07:56:02Z","date_created":"2026-02-26T12:02:52Z","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"keyword":["22D05","22D40","22D45"],"type":"journal_article","issue":"2","publication":"Glasgow Mathematical Journal","extern":"1","_id":"64701","page":"329–333","volume":47,"user_id":"178","status":"public","citation":{"mla":"Glöckner, Helge. “Contraction Groups for Tidy Automorphisms of Totally Disconnected Groups.” <i>Glasgow Mathematical Journal</i>, vol. 47, no. 2, 2005, pp. 329–333, doi:<a href=\"https://doi.org/10.1017/S0017089505002557\">10.1017/S0017089505002557</a>.","ama":"Glöckner H. Contraction groups for tidy automorphisms of totally disconnected groups. <i>Glasgow Mathematical Journal</i>. 2005;47(2):329–333. doi:<a href=\"https://doi.org/10.1017/S0017089505002557\">10.1017/S0017089505002557</a>","bibtex":"@article{Glöckner_2005, title={Contraction groups for tidy automorphisms of totally disconnected groups}, volume={47}, DOI={<a href=\"https://doi.org/10.1017/S0017089505002557\">10.1017/S0017089505002557</a>}, number={2}, journal={Glasgow Mathematical Journal}, author={Glöckner, Helge}, year={2005}, pages={329–333} }","apa":"Glöckner, H. (2005). Contraction groups for tidy automorphisms of totally disconnected groups. <i>Glasgow Mathematical Journal</i>, <i>47</i>(2), 329–333. <a href=\"https://doi.org/10.1017/S0017089505002557\">https://doi.org/10.1017/S0017089505002557</a>","ieee":"H. Glöckner, “Contraction groups for tidy automorphisms of totally disconnected groups,” <i>Glasgow Mathematical Journal</i>, vol. 47, no. 2, pp. 329–333, 2005, doi: <a href=\"https://doi.org/10.1017/S0017089505002557\">10.1017/S0017089505002557</a>.","chicago":"Glöckner, Helge. “Contraction Groups for Tidy Automorphisms of Totally Disconnected Groups.” <i>Glasgow Mathematical Journal</i> 47, no. 2 (2005): 329–333. <a href=\"https://doi.org/10.1017/S0017089505002557\">https://doi.org/10.1017/S0017089505002557</a>.","short":"H. Glöckner, Glasgow Mathematical Journal 47 (2005) 329–333."},"quality_controlled":"1"},{"citation":{"short":"H. Glöckner, Glasgow Mathematical Journal 44 (2002) 231–239.","chicago":"Glöckner, Helge. “Approximation by P-Adic Lie Groups.” <i>Glasgow Mathematical Journal</i> 44, no. 2 (2002): 231–239. <a href=\"https://doi.org/10.1017/S0017089502020049\">https://doi.org/10.1017/S0017089502020049</a>.","ieee":"H. Glöckner, “Approximation by p-adic Lie groups,” <i>Glasgow Mathematical Journal</i>, vol. 44, no. 2, pp. 231–239, 2002, doi: <a href=\"https://doi.org/10.1017/S0017089502020049\">10.1017/S0017089502020049</a>.","apa":"Glöckner, H. (2002). Approximation by p-adic Lie groups. <i>Glasgow Mathematical Journal</i>, <i>44</i>(2), 231–239. <a href=\"https://doi.org/10.1017/S0017089502020049\">https://doi.org/10.1017/S0017089502020049</a>","bibtex":"@article{Glöckner_2002, title={Approximation by p-adic Lie groups}, volume={44}, DOI={<a href=\"https://doi.org/10.1017/S0017089502020049\">10.1017/S0017089502020049</a>}, number={2}, journal={Glasgow Mathematical Journal}, author={Glöckner, Helge}, year={2002}, pages={231–239} }","ama":"Glöckner H. Approximation by p-adic Lie groups. <i>Glasgow Mathematical Journal</i>. 2002;44(2):231–239. doi:<a href=\"https://doi.org/10.1017/S0017089502020049\">10.1017/S0017089502020049</a>","mla":"Glöckner, Helge. “Approximation by P-Adic Lie Groups.” <i>Glasgow Mathematical Journal</i>, vol. 44, no. 2, 2002, pp. 231–239, doi:<a href=\"https://doi.org/10.1017/S0017089502020049\">10.1017/S0017089502020049</a>."},"quality_controlled":"1","status":"public","page":"231–239","_id":"64718","user_id":"178","volume":44,"issue":"2","publication":"Glasgow Mathematical Journal","extern":"1","date_created":"2026-02-26T12:26:19Z","keyword":["22D05","22E50","20E26","14L10"],"type":"journal_article","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"title":"Approximation by p-adic Lie groups","year":"2002","author":[{"full_name":"Glöckner, Helge","first_name":"Helge","last_name":"Glöckner","id":"178"}],"publication_identifier":{"issn":["0017-0895"]},"date_updated":"2026-02-27T07:43:12Z","intvolume":"        44","article_type":"original","language":[{"iso":"eng"}],"doi":"10.1017/S0017089502020049"}]