On the asphericity of a family of positive relative group presentations

Aldwaik, Suzana and Edjvet, Martin (2017) On the asphericity of a family of positive relative group presentations. Proceedings of the Edinburgh Mathematical Society . ISSN 1464-3839

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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.

Item Type: Article
Keywords: relative group presentations; pictures; asphericity
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: 10.1017/S0013091516000419
Depositing User: Eprints, Support
Date Deposited: 22 Jun 2017 12:18
Last Modified: 14 Jul 2017 01:20
URI: http://eprints.nottingham.ac.uk/id/eprint/43716

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