| dc.contributor.author | Ghosh, Amit | |
| dc.contributor.author | Meiri, Chen | |
| dc.contributor.author | Sarnak, Peter | |
| dc.date.accessioned | 2022-02-15T21:37:36Z | |
| dc.date.available | 2022-02-15T21:37:36Z | |
| dc.date.issued | 2021 | |
| dc.identifier | oksd_ghosh_commutatorsinSL2_2021 | |
| dc.identifier.citation | Ghosh, A., Meiri, C., & Sarnak, P. (2021). Commutators in $\mathrm{SL}_2$ and Markoff surfaces I. New Zealand Journal of Mathematics, Vaughan Jones Memorial Special Issue, 52, pp. 773-819. https://doi.org/10.53733/198 | |
| dc.identifier.uri | https://hdl.handle.net/11244/334620 | |
| dc.description.abstract | We show that the commutator equation over $\mathrm{SL}_2(\mathbb{Z})$ satisfies a profinite local to global principle, while it can fail with infinitely many exceptions for $\mathrm{SL}_2(\mathbb{Z}[\frac{1}{p}])$. The source of the failure is a reciprocity obstruction to the Hasse Principle for cubic Markoff surfaces. | |
| dc.format | application/pdf | |
| dc.language | en_US | |
| dc.publisher | New Zealand Journal of Mathematics Committee | |
| dc.relation.ispartof | New Zealand Journal of Math., Vaughan Jones Memorial Special Issue, 52 | |
| dc.rights | This material has been previously published. In the Oklahoma State University Library's institutional repository this version is made available through the open access principles and the terms of agreement/consent between the author(s) and the publisher. The permission policy on the use, reproduction or distribution of the material falls under fair use for educational, scholarship, and research purposes. Contact Digital Resources and Discovery Services at lib-dls@okstate.edu or 405-744-9161 for further information. | |
| dc.subject | math.NT | |
| dc.subject | math.GR | |
| dc.subject | 01 Mathematical Sciences | |
| dc.title | Commutators in $\mathrm{SL}_2$ and Markoff surfaces I | |
| dc.date.updated | 2022-02-10T23:12:44Z | |
| osu.filename | oksd_ghosh_commutatorsinSL2_2021.pdf | |
| dc.description.peerreview | Peer reviewed | |
| dc.identifier.doi | 10.53733/198 | |
| dc.description.department | Mathematics | |
| dc.type.genre | Article | |
| dc.type.material | Text | |
| dc.rights.license | https://creativecommons.org/licenses/by/4.0/ | |
| dc.relation.oaurl | https://www.nzjmath.org/index.php/NZJMATH/article/view/198 | |
| dc.identifier.author | ORCID: 0000-0002-5067-9213 (Ghosh, Amit) | |
| dc.identifier.author | ScopusID: 14064802500 | 55658057213 (Ghosh, Amit) | |
