Chinyere, Ihechukwu and Williams, Gerald (2021) Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups. Journal of Algebra, 580. pp. 104-126. DOI https://doi.org/10.1016/j.jalgebra.2021.04.003
Chinyere, Ihechukwu and Williams, Gerald (2021) Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups. Journal of Algebra, 580. pp. 104-126. DOI https://doi.org/10.1016/j.jalgebra.2021.04.003
Chinyere, Ihechukwu and Williams, Gerald (2021) Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups. Journal of Algebra, 580. pp. 104-126. DOI https://doi.org/10.1016/j.jalgebra.2021.04.003
Abstract
Building on previous results concerning hyperbolicity of groups of Fibonacci type, we give an almost complete classification of the (non-elementary) hyperbolic groups within this class. We are unable to determine the hyperbolicity status of precisely two groups, namely the Gilbert-Howie groups H(9, 4),H(9, 7). We show that if H(9, 4) is torsion-free then it is not hyperbolic. We consider the class of T(5) cyclically presented groups and classify the (non-elementary) hyperbolic groups and show that the Tits alternative holds.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | hyperbolic group, Tits alternative, cyclically presented group, Fibonacci group, small cancellation theory |
| 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: | 07 Apr 2021 18:59 |
| Last Modified: | 30 Oct 2024 16:35 |
| URI: | http://repository.essex.ac.uk/id/eprint/30164 |
Available files
Filename: ChinyereWilliams-HyperbolicGroupsFibonacciType(Revised).pdf
Licence: Creative Commons: Attribution-Noncommercial-No Derivative Works 3.0