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On the asphericity of a family of positive relative group presentations

Aldwaik, Suzana; Edjvet, Martin

Authors

Suzana Aldwaik

Martin Edjvet



Abstract

Excluding four exceptional cases, the asphericity of the relative presentation P= ⟨G; x|xmgxh⟩ for m ≥ 2 is determined. If H = ⟨g; h⟩ ≤ G, then the exceptional cases occur when H is isomorphic to C5 or C6.

Journal Article Type Article
Journal Proceedings of the Edinburgh Mathematical Society
Print ISSN 0013-0915
Electronic ISSN 1464-3839
Publisher Cambridge University Press (CUP)
Peer Reviewed Peer Reviewed
APA6 Citation Aldwaik, S., & Edjvet, M. (in press). On the asphericity of a family of positive relative group presentations. Proceedings of the Edinburgh Mathematical Society, doi:10.1017/S0013091516000419
DOI https://doi.org/10.1017/S0013091516000419
Keywords relative group presentations; pictures; asphericity
Publisher URL https://www.cambridge.org/core/journals/proceedings-of-the-edinburgh-mathematical-society/article/on-the-asphericity-of-a-family-of-positive-relative-group-presentations/551CA2310AFC04D303B8FCFA1D53A5E9
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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