Williams, G (2014) Fibonacci type semigroups. Algebra Colloquium, 21 (4). pp. 647-652. DOI https://doi.org/10.1142/s1005386714000595
Williams, G (2014) Fibonacci type semigroups. Algebra Colloquium, 21 (4). pp. 647-652. DOI https://doi.org/10.1142/s1005386714000595
Williams, G (2014) Fibonacci type semigroups. Algebra Colloquium, 21 (4). pp. 647-652. DOI https://doi.org/10.1142/s1005386714000595
Abstract
We study "Fibonacci type" groups and semigroups. By establishing asphericity of their presentations we show that many of the groups are infinite. We combine this with Adjan graph techniques and the classification of the finite Fibonacci semigroups (in terms of the finite Fibonacci groups) to extend it to the Fibonacci type semigroups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Fibonacci group; Fibonacci semigroup; cyclic presentation; asphericity; Adjan graph |
| Subjects: | Q Science > QA Mathematics |
| 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: | 22 May 2012 15:52 |
| Last Modified: | 06 Dec 2024 11:41 |
| URI: | http://repository.essex.ac.uk/id/eprint/2400 |
Available files
Filename: FibonacciSemigps.pdf