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.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
Published
2019-04-29
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Section
Algebra
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How to Cite
On a Nonsingular Equation of Length 9 Over Torsion Free Groups. (2019). European Journal of Pure and Applied Mathematics, 12(2), 590-604. https://doi.org/10.29020/nybg.ejpam.v12i2.3405