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On the Asphericity of a Family of Positive Relative Group Presentations

Published online by Cambridge University Press:  05 January 2017

Suzana Aldwaik
Affiliation:
School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK ([email protected])
Martin Edjvet
Affiliation:
School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, UK ([email protected])

Abstract

Excluding four exceptional cases, we determine the asphericity of the relative presentation for m ⩾ 2. If H = ⟨g, h⟩ ⩽ G, then the exceptional cases occur when H is isomorphic to C5 or C6.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2017 

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