On a Nonsingular Equation of Length 9 Over Torsion Free Groups
DOI:
https://doi.org/10.29020/nybg.ejpam.v12i2.3405Keywords:
Asphericity, relative group presentations, torsion-free groups, group equations.Keywords:
Asphericity, relative group presentations, torsion-free groups, group equations.Abstract
In \cite{levin}, Levin conjectured that every equation is solvable over a torsion free group. In this paper we consider a nonsingular equation $g_{1}tg_{2}t g_{3}t g_{4} t g_{5} t g_{6} t^{-1} g_{7} t g_{8}t \\ g_{9}t^{-1} = 1$ of length $9$ and show that it is solvable over torsion free groups modulo some exceptional cases.Downloads
How to Cite
Anwar, M. F., Bibi, M., & Akram, M. S. (2019). On a Nonsingular Equation of Length 9 Over Torsion Free Groups. European Journal of Pure and Applied Mathematics, 12(2), 590–604. https://doi.org/10.29020/nybg.ejpam.v12i2.3405
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyrihgt Holder.
If necessary, authors are responsible for obtaining permissions to reprint previously published figures, tables, and other material.