The relative hyperbolicity of one-relator relative presentations
Le Thi Giang · arXiv (Cornell University) · 2008
We prove that if $G$ is a free-torsion group and $w(t)$ is a word in the alphabet $G \sqcup \{t^{\pm 1}\}$ with exponent sum one, then the group $$, where $k \geq 2$, is relatively hyperbolic with respect to $G$.