8 citations · 21 across the 6 of their papers we have counts for
6 papers
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-…
On singular equations over torsion-free groups
Martin Edjvet, James Howie
We prove a Freiheitssatz for one-relator products of torsion-free groups, where the relator has syllable length at most 8. This result has applications to equations over torsion-fr…
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…
The infinite Fibonacci groups and relative asphericity
M. Edjvet, A. Juhasz
We prove that the generalised Fibonacci group F(r,n) is infinite for (r,n) in {(7 + 5k,5), (8 + 5k,5)} where k is greater than or equal to 0. This together with previously known re…
Asphericity of a length four relative group presentation
Abd Ghafur Bin Ahmad, Muna A Al-Mulla, Martin Edjvet
We consider the relative group presentation where and $\mathbf{r} = \{ xg_1 xg_2 xg_3 x^{-1} g_4 \…
Intersections of Magnus subgroups and embedding theorems for cyclically presented groups
Martin Edjvet, James Howie
A Magnus subgroup of a one-relator group is the free subgroup freely generated by a proper subset of the generators. Two such subgroups can intersect in the obvious way or in a lar…