论文标题
求解长度为九的组方程
Solving a group equation of length nine
论文作者
论文摘要
列文（Levin）于1962年提出了莱文（Levin）的猜想，该猜想猜想了任何组方程在无扭转组中具有系数的可溶性。 Levin的猜想最近显示出对长度为7的组方程组成的，重量测试和曲率分布。这些方法应用于长度为九的组方程，以探索莱文猜想的有效性。发现Levin的猜想对此方程模拟有肯定的答案。
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.
