4 papers
Minimal Volume Entropy of RAAG's
Matthew Haulmark, Kevin Schreve
Bregman and Clay recently characterized which right-angled Artin groups with geometric dimension 2 have vanishing minimal volume entropy. In this note, we extend this characterizat…
Piecewise Visual, Linearly Connected Metrics on Boundaries of Relatively Hyperbolic Groups
Matthew Haulmark, Michael L. Mihalik
Suppose a finitely generated group is hyperbolic relative to a set of proper finitely generated subgroups of . Established results in the literature imply that…
Right-angled Coxeter groups with non-planar boundary
Pallavi Dani, Matthew Haulmark, Genevieve Walsh
We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every bo…
Nonhyperbolic Coxeter groups with Menger curve boundary (with erratum)
Matthew Haulmark, G. Christopher Hruska, Bakul Sathaye
A generic finite presentation defines a word hyperbolic group whose boundary is homeomorphic to the Menger curve. In this article, we produce the first known examples of non-hyperb…