18 citations · 37 across the 13 of their papers we have counts for
17 papers
Redundant relators in cyclic presentations of groups
Ihechukwu Chinyere, Gerald Williams
A cyclic presentation of a group is a presentation with an equal number of generators and relators that admits a particular cyclic symmetry. We characterise the orientable, non-ori…
Cyclically presented groups as Labelled Oriented Graph groups
Vanni Noferini, Gerald Williams
We use results concerning the Smith forms of circulant matrices to identify when cyclically presented groups have free abelianisation and so can be Labelled Oriented Graph (LOG) gr…
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…
Fractional Fibonacci groups with an odd number of generators
Ihechukwu Chinyere, Gerald Williams
The Fibonacci groups are known to exhibit significantly different behaviour depending on the parity of . We extend known results for for odd to the family of F…
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…
Hyperbolicity of T(6) Cyclically Presented Groups
Ihechukwu Chinyere, Gerald Williams
We consider groups defined by cyclic presentations where the defining word has length three and the cyclic presentation satisfies the T(6) small cancellation condition. We classify…