26 citations · 113 across the 25 of their papers we have counts for
31 papers
Being Cayley automatic is closed under taking wreath product with virtually cyclic groups
Dmitry Berdinsky, Murray Elder, Jennifer Taback
We extend work of the first author and Khoussainov to show that being Cayley automatic is closed under taking the restricted wreath product with a virtually infinite cyclic group.…
On the geometry of Cayley automatic groups
Dmitry Berdinsky, Murray Elder, Jennifer Taback
In contrast to being automatic, being Cayley automatic \emph{a priori} has no geometric consequences. Specifically, Cayley graphs of automatic groups enjoy a fellow traveler proper…
A new proof of the growth rate of the solvable Baumslag-Solitar groups
Jennifer Taback, Alden Walker
We exhibit a regular language of geodesics for a large set of elements of and show that the growth rate of this language is the growth rate of the group. This provides a…
Conjugation Curvature in Solvable Baumslag-Solitar Groups
Jennifer Taback, Alden Walker
For an element in written in the normal form with and , we exhibit a geodesic word re…
Higher rank lamplighter groups are graph automatic
Sophie Bérubé, Tara Palnitkar, Jennifer Taback
We show that the higher rank lamplighter groups, or Diestel-Leader groups for , are graph automatic. This introduces a new family of graph automatic groups which…
Tree-based language complexity of Thompson's group F
Jennifer Taback, Sharif Younes
The definition of graph automatic groups by Kharlampovich, Khoussainov and Miasnikov and its extension to C-graph automatic by Murray Elder and the first author raise the question…