The relative hyperbolicity of one-relator relative presentations

Details The relative hyperbolicity of one-relator relative presentations The relative hyperbolicity of one-relator relative presentations

2008-07-16

arxiv.org/abs/0807.2487v1

Mathematics

Group Theory

10 pages, 7 figures

Scientific paper

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 $G$.

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