On a Nonsingular Equation of Length 9 Over Torsion Free Groups

Authors

  • M. Fazeel Anwar Sukkur IBA University
  • Mairaj Bibi COMSATS University Islamabad
  • Muhammad Saeed Akram Khawaja Fareed UEIT

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i2.3405

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 g1tg2tg3tg4tg5tg6t−1g7tg8tg9t−1=1 of length 9 and show that it is solvable over torsion free groups modulo some exceptional cases.

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Published

2019-04-29

Issue

Vol. 12 No. 2: (April 2019)

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