Residual nilpotence and ordering in one-relator groups and knot groups

I. M. Chiswell, A. M. W. Glass, John S. Wilson

Let $G=<x,t\mid w>$ be a one-relator group, where $w$ is a word in $x,t$. If $w$ is a product of conjugates of $x$ then, associated with $w$, there is a polynomial $A_w(X)$ over t…