@article { ,
title = {Asphericity of a length four relative presentation},
abstract = {We consider the relative group presentation P = < G, X | R > where X = \{ x \\\} and R = \{ xg\_1 xg\_2 xg\_3 x\^\{-1\} g\_4 \}. We show modulo a small number of exceptional cases exactly when P is aspherical. If the subgroup H of G is given by H = < g\_1\^\{-1\} g\_2, g\_1\^\{-1\} g\_3 g\_1 , g\_4 > then the exceptional cases occur when H is isomorphic to one of C\_5,C\_6,C\_8 or C\_2 X C\_4.},
doi = {10.1142/S0219498817500761},
eissn = {1793-6829},
issn = {0219-4988},
issue = {4},
journal = {Journal of Algebra and its Applications},
note = {Depositor emailed for publication details once this has been published. 12 month embargo will need to be set. KJH 05/04/2016},
publicationstatus = {Published},
publisher = {World Scientific},
url = {https://nottingham-repository.worktribe.com/output/790046},
volume = {16},
keyword = {relative group presentation, asphericity},
year = {2016},
author = {Bin Ahmad, Abd Ghafur and Al-Mulla, Muna A. and Edjvet, Martin}
}