Solving equations of length seven over torsion-free groups
Prishchepov [16] proved that all equations of length at most six over torsion-free groups are solvable. A different proof was given by Ivanov and Klyachko in [12]. This supports the conjecture stated by Levin [15] that any equation over a torsion-free group is solvable. Here it is shown that all equ...
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| Format: | Article |
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De Gruyter
2017
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| Online Access: | https://eprints.nottingham.ac.uk/46921/ |
| _version_ | 1848797428462911488 |
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| author | Bibi, Mairaj Edjvet, Martin |
| author_facet | Bibi, Mairaj Edjvet, Martin |
| author_sort | Bibi, Mairaj |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Prishchepov [16] proved that all equations of length at most six over torsion-free groups are solvable. A different proof was given by Ivanov and Klyachko in [12]. This supports the conjecture stated by Levin [15] that any equation over a torsion-free group is solvable. Here it is shown that all equations of length seven over torsion-free groups are solvable. |
| first_indexed | 2025-11-14T20:03:43Z |
| format | Article |
| id | nottingham-46921 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:03:43Z |
| publishDate | 2017 |
| publisher | De Gruyter |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-469212020-05-04T19:12:46Z https://eprints.nottingham.ac.uk/46921/ Solving equations of length seven over torsion-free groups Bibi, Mairaj Edjvet, Martin Prishchepov [16] proved that all equations of length at most six over torsion-free groups are solvable. A different proof was given by Ivanov and Klyachko in [12]. This supports the conjecture stated by Levin [15] that any equation over a torsion-free group is solvable. Here it is shown that all equations of length seven over torsion-free groups are solvable. De Gruyter 2017-10-17 Article PeerReviewed Bibi, Mairaj and Edjvet, Martin (2017) Solving equations of length seven over torsion-free groups. Journal of Group Theory, 21 (1). pp. 147-164. ISSN 1435-4446 https://www.degruyter.com/view/j/jgth.ahead-of-print/jgth-2017-0032/jgth-2017-0032.xml doi:10.1515/jgth-2017-0032 doi:10.1515/jgth-2017-0032 |
| spellingShingle | Bibi, Mairaj Edjvet, Martin Solving equations of length seven over torsion-free groups |
| title | Solving equations of length seven over torsion-free groups |
| title_full | Solving equations of length seven over torsion-free groups |
| title_fullStr | Solving equations of length seven over torsion-free groups |
| title_full_unstemmed | Solving equations of length seven over torsion-free groups |
| title_short | Solving equations of length seven over torsion-free groups |
| title_sort | solving equations of length seven over torsion-free groups |
| url | https://eprints.nottingham.ac.uk/46921/ https://eprints.nottingham.ac.uk/46921/ https://eprints.nottingham.ac.uk/46921/ |