7 citations · 8 across the 4 of their papers we have counts for
5 papers
Invariant factors from products of cyclotomic polynomials, with applications
Vanni Noferini, Gerald Williams
Let be products of cyclotomic polynomials such that either or (or both) is squarefree. We give explicit formulae for the invariant…
Smith forms of matrices in Companion Rings, with group theoretic and topological applications
Vanni Noferini, Gerald Williams
Let be a commutative ring and a monic polynomial. The commutative ring of polynomials in the companion matrix of , where , is…
3-manifold spine cyclic presentations with seldom seen Whitehead graphs
Gerald Williams
We consider a family of cyclic presentations and show that, subject to certain conditions on the defining parameters, they are spines of closed 3-manifolds. These are new examples…
All hyperbolic cyclically presented groups with positive length three relators
Ihechukwu Chinyere, Martin Edjvet, Gerald Williams
We consider the cyclically presented groups defined by cyclic presentations with generators whose relators are the positive length three relators $x_ix_{i+1}x_{i+m-…
Aspherical Relative Presentations All Over Again
William A. Bogley, Martin Edjvet, Gerald Williams
The concept of asphericity for relative group presentations was introduced twenty five years ago. Since then, the subject has advanced and detailed asphericity classifications have…