On the asphericity of a family of positive relative group presentations

Aldwaik, Suzana; Edjvet, Martin

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.

Citation

Aldwaik, S., & Edjvet, M. (in press). On the asphericity of a family of positive relative group presentations. Proceedings of the Edinburgh Mathematical Society, https://doi.org/10.1017/S0013091516000419

• Journal Article Type: Article
• Acceptance Date: Sep 4, 2015
• Online Publication Date: Jan 5, 2017
• Deposit Date: Jun 22, 2017
• Publicly Available Date: Jun 22, 2017
• Journal: Proceedings of the Edinburgh Mathematical Society
• Print ISSN: 0013-0915
• Electronic ISSN: 1464-3839
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1017/S0013091516000419
• Keywords: relative group presentations; pictures; asphericity
• Public URL: https://nottingham-repository.worktribe.com/output/841748
• 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
• Contract Date: Jun 22, 2017