The cyclically presented groups with relators
Martin Edjvet
University of Nottingham, UKGerald Williams
Essex University, Colchester, UK
![The cyclically presented groups with relators $x_ix_{i+k}x_{i+l}$ cover](/_next/image?url=https%3A%2F%2Fcontent.preview.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-4-issue-4.png&w=3840&q=90)
Abstract
Continuing Cavicchioli, Repovš, and Spaggiari’s investigations into the cyclic presentations 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.
Cite this article
Martin Edjvet, Gerald Williams, The cyclically presented groups with relators . Groups Geom. Dyn. 4 (2010), no. 4, pp. 759–775
DOI 10.4171/GGD/104