3 papers
math.GR2019
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…
math.GR2015
Hydra group doubles are not residually finite
Kristen Pueschel
In 2013, Kharlampovich, Myasnikov, and Sapir constructed the first examples of finitely presented residually finite groups with large Dehn functions. Given any recursive function $…
math.MG2012
Discrete Homotopy Theory and Critical Values of Metric Spaces
Jim Conant, Victoria Curnutte, Corey Jones +4
Utilizing the discrete homotopy methods developed for uniform spaces by Berestovskii-Plaut, we define the critical spectrum Cr(X) of a metric space, generalizing to the non-geodesi…