Asphericity of a length four relative presentation
We consider the relative group presentation P = < G, X | R > where X = { x \} and R = { xg_1 xg_2 xg_3 x^{-1} g_4 }. We show modulo a small number of exceptional cases exactly when P is aspherical. If the subgroup H of G is given by H = < g_1^{-1} g_2, g_1^{-1} g_3 g_1 , g_4 > then t...
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| Format: | Article |
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World Scientific
2016
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| Online Access: | https://eprints.nottingham.ac.uk/32633/ |
| _version_ | 1848794453645459456 |
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| author | Bin Ahmad, Abd Ghafur Al-Mulla, Muna A. Edjvet, Martin |
| author_facet | Bin Ahmad, Abd Ghafur Al-Mulla, Muna A. Edjvet, Martin |
| author_sort | Bin Ahmad, Abd Ghafur |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We consider the relative group presentation P = < G, X | R > where X = { x \} and R = { xg_1 xg_2 xg_3 x^{-1} g_4 }. We show modulo a small number of exceptional cases exactly when P is aspherical. If the subgroup H of G is given by H = < g_1^{-1} g_2, g_1^{-1} g_3 g_1 , g_4 > then the exceptional cases occur when H is isomorphic to one of C_5,C_6,C_8 or C_2 X C_4. |
| first_indexed | 2025-11-14T19:16:26Z |
| format | Article |
| id | nottingham-32633 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:16:26Z |
| publishDate | 2016 |
| publisher | World Scientific |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-326332020-05-04T17:51:54Z https://eprints.nottingham.ac.uk/32633/ Asphericity of a length four relative presentation Bin Ahmad, Abd Ghafur Al-Mulla, Muna A. Edjvet, Martin We consider the relative group presentation P = < G, X | R > where X = { x \} and R = { xg_1 xg_2 xg_3 x^{-1} g_4 }. We show modulo a small number of exceptional cases exactly when P is aspherical. If the subgroup H of G is given by H = < g_1^{-1} g_2, g_1^{-1} g_3 g_1 , g_4 > then the exceptional cases occur when H is isomorphic to one of C_5,C_6,C_8 or C_2 X C_4. World Scientific 2016-05-13 Article PeerReviewed Bin Ahmad, Abd Ghafur, Al-Mulla, Muna A. and Edjvet, Martin (2016) Asphericity of a length four relative presentation. Journal of Algebra and its Applications, 16 (04). p. 1750076. ISSN 1793-6829 relative group presentation; asphericity http://www.worldscientific.com/doi/abs/10.1142/S0219498817500761 doi:10.1142/S0219498817500761 doi:10.1142/S0219498817500761 |
| spellingShingle | relative group presentation; asphericity Bin Ahmad, Abd Ghafur Al-Mulla, Muna A. Edjvet, Martin Asphericity of a length four relative presentation |
| title | Asphericity of a length four relative presentation |
| title_full | Asphericity of a length four relative presentation |
| title_fullStr | Asphericity of a length four relative presentation |
| title_full_unstemmed | Asphericity of a length four relative presentation |
| title_short | Asphericity of a length four relative presentation |
| title_sort | asphericity of a length four relative presentation |
| topic | relative group presentation; asphericity |
| url | https://eprints.nottingham.ac.uk/32633/ https://eprints.nottingham.ac.uk/32633/ https://eprints.nottingham.ac.uk/32633/ |