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An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators

Mohamed, Esamaldeen and Williams, Gerald (2019) 'An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators.' Experimental Mathematics. ISSN 1058-6458

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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
Uncontrolled Keywords: cyclically presented group, isomorphism, small cancelation, hyperbolic group, abelianisation
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 25 Sep 2019 13:17
Last Modified: 25 Sep 2020 01:00
URI: http://repository.essex.ac.uk/id/eprint/25470

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