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On the Tits alternative for cyclically presented groups with length four positive relators

Isherwood, Shaun and Williams, Gerald (2022) 'On the Tits alternative for cyclically presented groups with length four positive relators.' Journal of Group Theory. ISSN 1433-5883

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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 > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 10 Feb 2022 16:44
Last Modified: 30 Mar 2022 15:24
URI: http://repository.essex.ac.uk/id/eprint/32265

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