4 papers
Random Quotients of Free Products
Eduard Einstein, Suraj Krishna M S, MurphyKate Montee +2
We introduce a density model for random quotients of a free product of finitely generated groups. We prove that a random quotient in this model has the following properties with ov…
Hierarchies for Relatively Hyperbolic Virtually Special Groups
Eduard Einstein
Wise's Quasiconvex Hierarchy Theorem classifying hyperbolic virtually compact special groups in terms of quasiconvex hierarchies played an essential role in Agol's proof of the Vir…
Relative Cubulation of Small Cancellation Free Products
Eduard Einstein, Thomas Ng
We expand the class of groups with relatively geometric actions on CAT(0) cube complexes by proving that it is closed under --small cancellation free products. We buil…
On the boundary criterion for relative cubulation: multi-ended parabolics
Eduard Einstein, Suraj Krishna MS, Thomas Ng
In this note, we clarify that the boundary criterion for relative cubulation of the first author and Groves works even when the peripheral subgroups are not one-ended. Specifically…