13 citations · 38 across the 32 of their papers we have counts for
5 papers · 2 filters
Ascending chains of free subgroups in closed hyperbolic and graph 3-manifold groups
Edgar A. Bering, Nir Lazarovich
Takahasi and Higman independently proved that any ascending chain of subgroups of constant rank in a free group must stabilize. Kapovich and Myasnikov gave a proof of this fact in…
Hyperbolic groups with logarithmic separation profile
Nir Lazarovich, Corentin Le Coz
We prove that hyperbolic groups with logarithmic separation profiles split over cyclic groups. This shows that such groups can be inductively built from Fuchsian groups and free gr…
Globally stable cylinders for hyperbolic CAT(0) cube complexes
Nir Lazarovich, Michah Sageev
Rips and Sela introduced the notion of globally stable cylinders and asked if all Gromov hyperbolic groups admit such. We prove that hyperbolic cubulated groups admit globally stab…
Volume vs. Complexity of Hyperbolic Groups
Nir Lazarovich
We prove that for a one-ended hyperbolic graph , the size of the quotient by a group acting freely and cocompactly bounds from below the number of simplices in an Eile…
Virtually free groups are stable in permutations
Nir Lazarovich, Arie Levit
We prove that finitely generated virtually free groups are stable in permutations. As an application, we show that almost-periodic almost-automorphisms of labelled graphs are close…