15 citations · 27 across the 7 of their papers we have counts for
8 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…
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…
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…
Separation and Relative Quasi-convexity Criteria for Relatively Geometric Actions
Eduard Einstein, Daniel Groves, Thomas Ng
Bowditch characterized relative hyperbolicity in terms of group actions on fine hyperbolic graphs with finitely many edge orbits and finite edge stabilizers. In this paper, we defi…
Relatively geometric actions on CAT(0) cube complexes
Eduard Einstein, Daniel Groves
We develop the foundations of the theory of relatively geometric actions of relatively hyperbolic groups on CAT(0) cube complexes, a notion introduced in our previous work [5]. In…
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 cubulations and groups with a 2-sphere boundary
Eduard Einstein, Daniel Groves
We introduce a new kind of action of a relatively hyperbolic group on a CAT(0) cube complex, called a relatively geometric action. We provide an application to characterize finite-…
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…