Mohamed, Esamaldeen and Williams, Gerald (2022) An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators. Experimental Mathematics, 31 (2). pp. 537-551. DOI https://doi.org/10.1080/10586458.2019.1655817
Mohamed, Esamaldeen and Williams, Gerald (2022) An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators. Experimental Mathematics, 31 (2). pp. 537-551. DOI https://doi.org/10.1080/10586458.2019.1655817
Mohamed, Esamaldeen and Williams, Gerald (2022) An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators. Experimental Mathematics, 31 (2). pp. 537-551. DOI https://doi.org/10.1080/10586458.2019.1655817
Abstract
We continue research into the cyclically presented groups with length three positive relators. We study small cancelation conditions, SQ-universality, and hyperbolicity, we obtain the Betti numbers of the groups’ abelianisations, we calculate the orders of the abelianisations of some groups, and we study isomorphism classes of the groups. Through computational experiments we assess how effective the abelianisation is as an invariant for distinguishing non-isomorphic groups.
Item Type: | Article |
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Uncontrolled Keywords: | cyclically presented group, isomorphism, small cancelation, hyperbolic group, abelianisation |
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: | 25 Sep 2019 13:17 |
Last Modified: | 30 Oct 2024 20:46 |
URI: | http://repository.essex.ac.uk/id/eprint/25470 |
Available files
Filename: 1806.06821.pdf