Gerald Williams

activity

20182026

most citedAspherical Relative Presentations All Over Again

7 citations · 8 across the 4 of their papers we have counts for

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math.GR2024

Smith forms of matrices in Companion Rings, with group theoretic and topological applications

Vanni Noferini, Gerald Williams

Let $R$ be a commutative ring and $g (t) \in R [t]$ a monic polynomial. The commutative ring of polynomials $f (C_{g})$ in the companion matrix $C_{g}$ of $g (t)$ , where $f (t) \in R [t]$ , is…

math.GR2024

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 $2 m$ generators $x_{i}$ whose relators are the $2 m$ positive length three relators $x_ix_{i+1}x_{i+m-…

math.GR2018★ 7 cited

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…