On the asphericity of a family of positive relative group presentations
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.
| Main Authors: | , |
|---|---|
| Format: | Article |
| Published: |
Cambridge University Press
2017
|
| Subjects: | |
| Online Access: | https://eprints.nottingham.ac.uk/43716/ |
| _version_ | 1848796750674919424 |
|---|---|
| author | Aldwaik, Suzana Edjvet, Martin |
| author_facet | Aldwaik, Suzana Edjvet, Martin |
| author_sort | Aldwaik, Suzana |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:52:57Z |
| format | Article |
| id | nottingham-43716 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:52:57Z |
| publishDate | 2017 |
| publisher | Cambridge University Press |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-437162020-05-04T18:31:35Z https://eprints.nottingham.ac.uk/43716/ On the asphericity of a family of positive relative group presentations Aldwaik, Suzana Edjvet, Martin 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. Cambridge University Press 2017-01-05 Article PeerReviewed 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 relative group presentations; pictures; asphericity 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 doi:10.1017/S0013091516000419 doi:10.1017/S0013091516000419 |
| spellingShingle | relative group presentations; pictures; asphericity Aldwaik, Suzana Edjvet, Martin On the asphericity of a family of positive relative group presentations |
| title | On the asphericity of a family of positive relative group presentations |
| title_full | On the asphericity of a family of positive relative group presentations |
| title_fullStr | On the asphericity of a family of positive relative group presentations |
| title_full_unstemmed | On the asphericity of a family of positive relative group presentations |
| title_short | On the asphericity of a family of positive relative group presentations |
| title_sort | on the asphericity of a family of positive relative group presentations |
| topic | relative group presentations; pictures; asphericity |
| url | https://eprints.nottingham.ac.uk/43716/ https://eprints.nottingham.ac.uk/43716/ https://eprints.nottingham.ac.uk/43716/ |