The cyclically presented groups with relators

  • Martin Edjvet

    University of Nottingham, UK
  • Gerald Williams

    Essex University, Colchester, UK

Abstract

Continuing Cavicchioli, Repovš, and Spaggiari’s investigations into the cyclic presentations < | = 1 (1 ≤ )> 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