On a Nonsingular Equation of Length 9 Over Torsion Free Groups
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Published:2019-04-29
Issue:2
Volume:12
Page:590-604
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ISSN:1307-5543
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Container-title:European Journal of Pure and Applied Mathematics
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language:
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Short-container-title:Eur. J. Pure Appl. Math.
Author:
Anwar M. Fazeel,Bibi Mairaj,Akram Muhammad Saeed
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.
Publisher
New York Business Global LLC
Subject
Applied Mathematics,Geometry and Topology,Numerical Analysis,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science
Cited by
1 articles.
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1. Levin Conjecture for Group Equations of Length 9;European Journal of Pure and Applied Mathematics;2020-10-31