On a Nonsingular Equation of Length 9 Over Torsion Free Groups
2019 ◽
Vol 12
(2)
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pp. 590-604
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.
1994 ◽
Vol 04
(04)
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pp. 575-589
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2008 ◽
Vol 18
(06)
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pp. 979-987
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1995 ◽
Vol 38
(3)
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pp. 485-493
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1991 ◽
Vol 50
(2)
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pp. 243-247
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