Asphericity of a length four relative group presentation

Abd Ghafur Bin Ahmad, Muna A Al-Mulla, Martin Edjvet

We consider the relative group presentation $\mathcal{P}=⟨G,\mathbf{x}|\mathbf{r}⟩$ where $\mathbf{x}=\{x\}$ and $\mathbf{r} = \{ xg_1 xg_2 xg_3 x^{-1} g_4 \…