9 papers · 1 filter
Average Distortion of Commensurators of Hyperbolic Groups
Nir Lazarovich, Suraj Krishna M S, Mahan Mj
We prove that commensurators of a geometrically rigid residually finite hyperbolic group have bounded average distortion.
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…
Simple Lattices in Products of Davis Complexes
Michal Amir, Nir Lazarovich
Burger and Mozes (1997) constructed the first examples of simple uniform lattices in products of trees. In this paper, we construct simple uniform lattices in products of certain D…
Ascending Chains in 3-Manifold and Relatively Hyperbolic Groups
Edgar A. Bering, Jakob Heikamp, Jack Kohav +2
We prove that any ascending chain of bounded rank subgroups in the fundamental group of a compact -manifold stabilizes. We use geometrization to reduce the proof to fundamental…
Finite Index Rigidity of Relatively Hyperbolic Groups
Nir Lazarovich, Gon Rahamim, Alessandro Sisto
We prove that, given a torsion-free relatively hyperbolic group G with non-relatively-hyperbolic peripherals, isomorphic finite index subgroups of G have the same index. This appli…
Surface groups are flexibly stable
Nir Lazarovich, Arie Levit, Yair Minsky
We show that surface groups are flexibly stable in permutations. This is the first non-trivial example of a non-amenable flexibly stable group. Our method is purely geometric and r…