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On the asphericity of one-relator relative presentations

Published online by Cambridge University Press:  14 November 2011

Martin Edjvet
Martin Edjvet
Affiliation:
Department of Mathematics, University of Nottingham, University Park, Nottingham NG7 2RD, U.K.
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Abstract

We study the 1-relator relative presentation 〈H, x|xaxbx−1c〉 where H is a group, a, b, c ∈ H, x ∉ H and b, c ≠ 1. We give necessary and sufficient conditions for this presentation to be aspherical apart from two outstanding special cases which remain open.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 4 , 1994 , pp. 713 - 728
Copyright
Copyright © Royal Society of Edinburgh 1994

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References

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