10 citations · 51 across the 29 of their papers we have counts for
6 papers · 1 filter
The conjugacy problem in hyperbolic groups for finite lists of group elements
David J. Buckley, Derek F. Holt
Let G be a word-hyperbolic group with given finite generating set, for which various standard structures and constants have been pre-computed. A (non-practical) algorithm is descri…
Star-free geodesic languages for groups
S. Hermiller, Derek F. Holt, Sarah Rees
In this article we show that every group with a finite presentation satisfying one or both of the small cancellation conditions and has the property that t…
Groups whose geodesics are locally testable
S. Hermiller, Derek F. Holt, Sarah Rees
A regular set of words is (-)locally testable if membership of a word in the set is determined by the nature of its subwords of some bounded length . In this article we study…
A characterisation of virtually free groups
Robert H. Gilman, S. Hermiller, Derek F. Holt +1
We prove that a finitely generated group is virtually free if and only if there exists a generating set for and such that all -locally geodesic words with respec…
Rapid Decay is Preserved by Graph Products
Laura Ciobanu, Derek F. Holt, Sarah Rees
We prove that the rapid decay property (RD) of groups is preserved by graph products defined on finite simplicial graphs.
Generalising some results about right-angled Artin groups to graph products of groups
Derek F. Holt, Sarah Rees
We prove three results about the graph product $G=\G(Γ;G_v, v \in V(Γ))$ of groups over a graph . The first result generalises a result of Servatius, Droms and Servatius,…