Isherwood, Shaun and Williams, Gerald (2022) On the Tits alternative for cyclically presented groups with length four positive relators. Journal of Group Theory. pp. 837-850. DOI https://doi.org/10.1515/jgth-2021-0131
Isherwood, Shaun and Williams, Gerald (2022) On the Tits alternative for cyclically presented groups with length four positive relators. Journal of Group Theory. pp. 837-850. DOI https://doi.org/10.1515/jgth-2021-0131
Isherwood, Shaun and Williams, Gerald (2022) On the Tits alternative for cyclically presented groups with length four positive relators. Journal of Group Theory. pp. 837-850. DOI https://doi.org/10.1515/jgth-2021-0131
Abstract
We investigate the Tits alternative for cyclically presented groups with length four positive relators in terms of a system of congruences (A),(B),(C) in the defining parameters, introduced by Bogley and Parker. Except for the case when (B) holds and neither (A) nor (C) hold, we show that the Tits alternative is satisfied; in the remaining case we show that the Tits alternative is satisfied when the number of generators of the cyclic presentation is at most 20.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Tits alternative; cyclically presented group; large group; SQ-universal |
| 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: | 10 Feb 2022 16:44 |
| Last Modified: | 30 Oct 2024 16:29 |
| URI: | http://repository.essex.ac.uk/id/eprint/32265 |
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