Heriot-Watt Mathematics Report Series
HWM99-5, 4 Mar 99

On the asphericity of length five relative group presentations

J Howie and V Metaftsis


Abstract

We investigate asphericity of the relative group presentation $\$ and prove it aspherical provided the subgroup of $G$ generated by $\{ ab^{-1}, bc^{-1}, cd^{-1}, de^{-1}\}$ is neither finite cyclic nor a finite triangle group. We also prove a similar result for the closely related relative group presentation $\$.

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Full text: http://www.ma.hw.ac.uk/~jim/preprint9.ps.Z


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