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The cyclically presented groups with relators x<inf>i</inf>x <inf>i+k</inf>x<inf>i+l</inf>

Edjvet, M and Williams, G (2010) 'The cyclically presented groups with relators x<inf>i</inf>x <inf>i+k</inf>x<inf>i+l</inf>.' Groups, Geometry, and Dynamics, 4 (4). 759 - 775. ISSN 1661-7207

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Abstract

Continuing Cavicchioli, Repovš, and Spaggiari's investigations into the cyclic presentations 〈x 1 ,...,x n | x i x i+k x i+l D 1 (1 ≤ i ≤ n)〉 we determine when they are aspherical and when they define finite groups; in these cases we describe the groups' structures. In many cases we show that if the group is infinite then it contains a non-abelian free subgroup. © European Mathematical Society.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 04 Jan 2012 11:42
Last Modified: 08 Jan 2018 15:15
URI: http://repository.essex.ac.uk/id/eprint/1809

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