5 citations · 20 across the 17 of their papers we have counts for
20 papers
Exponentially distorted subgroups in wreath products
Timothy Riley
We exhibit exponentially distorted subgroups in and .
Dehn functions of mapping tori of right-angled Artin groups
Kristen Pueschel, Timothy Riley
The algebraic mapping torus of a group with an automorphism is the HNN-extension of in which conjugation by the stable letter performs . We classify the Dehn f…
The Generalized Dehn Property
Owen Baker, Timothy Riley
The Dehn property for a complex is that every non-trivial disk diagram has spurs or shells. It implies a linear isoperimetric inequality. It has been conjectured that the same is t…
Soficity and variations on Higman's group
Martin Kassabov, Vivian Kuperberg, Timothy Riley
A group is sofic when every finite subset can be well approximated in a finite symmetric group. No example of a non-sofic group is known. Higman's group, which is a circular amalga…
Computing area in presentations of the trivial group
Timothy Riley
We give polynomial-time dynamic-programming algorithms finding the areas of words in the presentations and $\langle a, b \mid a^k, b^k; \ k \in \ma…
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…