18 citations · 30 across the 3 of their papers we have counts for
9 papers · 1 filter
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…
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…
A class of digraph groups defined by balanced presentations
Johannes Cuno, Gerald Williams
We consider groups defined by non-empty balanced presentations with the property that each relator is of the form R(x,y), where x and y are distinct generators and R(.,.) is determ…
An investigation into the cyclically presented groups with length three positive relators
Esamaldeen Mohamed, Gerald Williams
We continue research into the cyclically presented groups with length three positive relators. We study small cancellation conditions and SQ-universality, we obtain the Betti numbe…
Generalized Fibonacci groups H(r,n,s) that are connected Labelled Oriented Graph groups
Gerald Williams
The class of connected LOG (Labelled Oriented Graph) groups coincides with the class of fundamental groups of complements of closed, orientable 2-manifolds embedded in S^4, and so…