Asphericity of a length four relative presentation

Bin Ahmad, Abd Ghafur and Al-Mulla, Muna A. and Edjvet, Martin Asphericity of a length four relative presentation. Journal of Algebra and its Applications . ISSN 1793-6829 (In Press)

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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.

Item Type: Article
Keywords: relative group presentation; asphericity
Schools/Departments: University of Nottingham UK Campus > Faculty of Science > School of Mathematical Sciences
Depositing User: Edjvet, Martin
Date Deposited: 05 Apr 2016 09:31
Last Modified: 14 Sep 2016 06:45
URI: http://eprints.nottingham.ac.uk/id/eprint/32633

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