Chinyere, Ihechukwu and Bainson, Bernard (2021) 'Perfect Prishchepov Groups.' Journal of Algebra, 588. pp. 515-532. ISSN 0021-8693
|
Text
PerfectPrishchepovGroups.pdf - Accepted Version Available under License Creative Commons Attribution Non-commercial No Derivatives. Download (342kB) | Preview |
Abstract
We study cyclically presented groups of type F to determine when they are perfect. It turns out that to do so, it is enough to consider the Prishchepov groups, so modulo a certain conjecture, we classify the perfect Prishchepov groups P(r, n, k, s, q) in terms of the defining integer parameters r, n, k, s, q. In particular, we obtain a classification of the perfect Campbell and Robertson’s Fibonacci-type groups H(r, n, s), thereby proving a conjecture of Williams, and yielding a complete classification of the groups H(r, n, s) that are connected Labelled Oriented Graph groups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Prishchepov groups; Cyclically presented groups; Perfect groups; LOG groups |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematical Sciences, Department of |
| SWORD Depositor: | Elements |
| Depositing User: | Elements |
| Date Deposited: | 20 Sep 2021 08:56 |
| Last Modified: | 09 Sep 2022 01:00 |
| URI: | http://repository.essex.ac.uk/id/eprint/31112 |
Actions (login required)
 |
View Item |
Altmetric
Altmetric