4 papers
Generalized polygons and star graphs of cyclic presentations of groups
Ihechukwu Chinyere, Gerald Williams
Groups defined by presentations for which the components of the corresponding star graph are the incidence graphs of generalized polygons are of interest as they are small cancella…
Perfect Prishchepov groups
Ihechukwu Chinyere, Bernard Oduoku Bainson
We study cyclically presented groups of type to determine when they are perfect. It turns out that to do so, it is enough to consider the Prishchepov groups, so modu…
Hyperbolic groups of Fibonacci type and T(5) cyclically presented groups
Ihechukwu Chinyere, Gerald Williams
Building on previous results concerning hyperbolicity of groups of Fibonacci type, we give an almost complete classification of the (non-elementary) hyperbolic groups within this c…
Structure of words with short 2-length in a free product of groups
Ihechukwu Chinyere
Howie and Duncan observed that a word in a free product with length at least two and which is not a proper power can be decomposed as a product of two cyclic subwords each of which…