19 citations · 39 across the 7 of their papers we have counts for
8 papers
Taming the hydra: the word problem and extreme integer compression
W. Dison, E. Einstein, T. R. Riley
For a finitely presented group, the word problem asks for an algorithm which declares whether or not words on the generators represent the identity. The Dehn function is a complexi…
Hyperbolic hydra
Noel Brady, Will Dison, Tim Riley
We give examples of hyperbolic groups with finite-rank free subgroups of huge (Ackermannian) distortion.
Hydra groups
Will Dison, Tim Riley
We give examples of CAT(0), biautomatic, free-by-cyclic, one-relator groups which have finite-rank free subgroups of huge (Ackermannian) distortion. This leads to elementary exampl…
Isoperimetric functions for subdirect products and Bestvina-Brady groups
Will Dison
In this thesis we investigate the Dehn functions of two different classes of groups: subdirect products, in particular subdirect products of limit groups; and Bestvina-Brady groups…
The Dehn function of Stallings' group
Will Dison, Murray Elder, Tim Riley +1
We prove that the Dehn function of a group of Stallings that is finitely presented but not of type F_3 is quadratic. To appear in Geometric and Functional Analysis.
A Subgroup of a Direct Product of Free Groups whose Dehn Function has a Cubic Lower Bound
Will Dison
We establish a cubic lower bound on the Dehn function of a certain finitely presented subgroup of a direct product of 3 free groups.