Solving a group equation of length nine
Group Theory
2021-12-28 v2
Abstract
The Levin conjecture was proposed by Levin in 1962 which conjectures the solvability of any group equation with coefficients in a torsion free group. The Levin conjecture is recently shown to hold for group equations of length seven by weight test and curvature distribution. These methods are applied on a group equation of length nine to explore the validity of Levin conjecture. It is found that the Levin conjecture has an affirmative answer for this equation modulo some exceptional cases.
Cite
@article{arxiv.2008.09508,
title = {Solving a group equation of length nine},
author = {Muhammad Saeed Akram and Maira Amjid},
journal= {arXiv preprint arXiv:2008.09508},
year = {2021}
}
Comments
Pages 23 and pictures 13. arXiv admin note: text overlap with arXiv:2008.06846