activity
20102020
most citedResolutions of CAT(0) cube complexes and accessibility properties

3 citations · 8 across the 6 of their papers we have counts for

collaborators

8 papers

math.GR2020

Surface-like boundaries of hyperbolic groups

Benjamin Beeker, Nir Lazarovich

We classify the boundaries of hyperbolic groups that have enough quasiconvex codimension-1 surface subgroups with trivial or cyclic intersections.

math.GR2017★ 2 cited

Cubical accessibility and bounds on curves on surfaces

Benjamin Beeker, Nir Lazarovich

We bound the size of -dimensional cubulations of finitely presented groups. We apply this bound to obtain acylindrical accessibility for actions on CAT(0) cube complexes and bou…

math.GR2016★ 1 cited

Stallings folds for CAT(0) cube complexes and quasiconvex subgroups

Benjamin Beeker, Nir Lazarovich

We describe a higher dimensional analogue of the Stallings folding sequence for group actions on CAT(0) cube complexes. We use it to give a characterization of quasiconvex subgroup…

math.GR2016★ 1 cited

Sphere boundaries of hyperbolic groups

Benjamin Beeker, Nir Lazarovich

We show that a one-ended simply connected at infinity hyperbolic group with enough codimension-1 surface subgroups has . Combined with a result o…

math.GR2014★ 3 cited

Resolutions of CAT(0) cube complexes and accessibility properties

Benjamin Beeker, Nir Lazarovich

In [4], Dunwoody defined resolutions for finitely presented group actions on simplicial trees, that is, an action of the group on a tree with smaller edge and vertex stabilizers. H…

math.GR2012★ 1 cited

Compatibility JSJ decomposition of graphs of free abelian groups

Benjamin Beeker

A group G is a vGBS group if it admits a decomposition as a finite graph of groups with all edge and vertex groups finitely generated and free abelian. We describe the compatibilit…

math.GR2011

Multiple conjugacy problem in graphs of free abelian groups

Benjamin Beeker

A group G is a vGBS group if it admits a decomposition as a finite graph of groups with all edge and vertex groups finitely generated and free abelian. We prove that the multiple c…

math.GR2010

Abelian JSJ decomposition of graphs of free abelian groups

Benjamin Beeker

A group G is a vGBS group if it admits a decomposition as a finite graph of groups with all edge and vertex groups finitely generated and free abelian. We construct the JSJ decompo…