Asphericity of a length four relative presentation

Bin Ahmad, Abd Ghafur, Al-Mulla, Muna A. and Edjvet, Martin (2016) Asphericity of a length four relative presentation. Journal of Algebra and its Applications, 16 (04). p. 1750076. ISSN 1793-6829

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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
Additional Information: Electronic version of an article published as Journal of Algebra and its Applications, 16, 04, 2016, 1750076 (27 p.), doi:10.1142/S0219498817500761 © World Scientific Publishing Company,
Keywords: relative group presentation; asphericity
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number:
Depositing User: Edjvet, Martin
Date Deposited: 05 Apr 2016 09:31
Last Modified: 04 May 2020 17:51

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