Asphericity of a length four relative presentation

Asphericity of a length four relative presentation

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 t...

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Bibliographic Details
Main Authors: Bin Ahmad, Abd Ghafur, Al-Mulla, Muna A., Edjvet, Martin
Format: Article
Published: World Scientific 2016
Subjects:
relative group presentation; asphericity
Online Access:https://eprints.nottingham.ac.uk/32633/

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