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Asphericity of a length four relative group presentation
Journal article   Peer reviewed

Asphericity of a length four relative group presentation

Abd Ghafur Bin Ahmad, Muna A. Al-Mulla and Martin Edjvet
Journal of algebra and its applications, Vol.16(4), p.1750076
01/04/2017
DOI: https://doi.org/10.1142/S0219498817500761

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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 H = < g(1)(-1) g(2), g(1)(-1) g(3)g(1), g(4)> <= G, then the exceptional cases occur when H is isomorphic to one of C-5, C-6, C-8 or C-2 x C-4.

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