Chinyere, Ihechukwu and Edjvet, Martin and Williams, Gerald (2025) All hyperbolic cyclically presented groups with positive length three relators. Journal of Pure and Applied Algebra, 229 (12). p. 108133. DOI https://doi.org/10.1016/j.jpaa.2025.108133
Chinyere, Ihechukwu and Edjvet, Martin and Williams, Gerald (2025) All hyperbolic cyclically presented groups with positive length three relators. Journal of Pure and Applied Algebra, 229 (12). p. 108133. DOI https://doi.org/10.1016/j.jpaa.2025.108133
Chinyere, Ihechukwu and Edjvet, Martin and Williams, Gerald (2025) All hyperbolic cyclically presented groups with positive length three relators. Journal of Pure and Applied Algebra, 229 (12). p. 108133. DOI https://doi.org/10.1016/j.jpaa.2025.108133
Abstract
We consider the cyclically presented groups defined by cyclic presentations with 2m generators xi whose relators are the 2m positive length three relators xixi+1xi+m−1. We show that they are hyperbolic if and only if m ∈ {1, 2, 3, 6, 9}. This completes the classification of the hyperbolic cyclically presented groups with positive length three relators
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Hyperbolic group; Cyclically presented group; Curvature |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 08 Dec 2025 14:43 |
| Last Modified: | 08 Dec 2025 14:43 |
| URI: | http://repository.essex.ac.uk/id/eprint/42292 |
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