The cyclically presented groups with relators $x_ix_{i+k}x_{i+l}$
The cyclically presented groups with relators $x_ix_{i+k}x_{i+l}$
Continuing Cavicchioli, Repovš, and Spaggiari’s investigations into the cyclic presentations \langle x_1, \ldots , x_n | x_ix_{i+k}x_{i+l} = 1 (1 ≤ i ≤ n) \rangle 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 …