Solving equations of length seven over torsion-free groups

Bibi, Mairaj; Edjvet, Martin

Abstract

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.

Citation

Bibi, M., & Edjvet, M. (in press). Solving equations of length seven over torsion-free groups. Journal of Group Theory, 21(1), https://doi.org/10.1515/jgth-2017-0032

• Journal Article Type: Article
• Acceptance Date: Aug 19, 2017
• Online Publication Date: Oct 17, 2017
• Deposit Date: Oct 2, 2017
• Publicly Available Date: Oct 18, 2018
• Journal: Journal of Group Theory
• Print ISSN: 1433-5883
• Electronic ISSN: 1435-4446
• Publisher: De Gruyter
• Peer Reviewed: Peer Reviewed
• Volume: 21
• Issue: 1
• DOI: https://doi.org/10.1515/jgth-2017-0032
• Public URL: https://nottingham-repository.worktribe.com/output/887921
• Publisher URL: https://www.degruyter.com/view/j/jgth.ahead-of-print/jgth-2017-0032/jgth-2017-0032.xml