13 citations · 38 across the 32 of their papers we have counts for
35 papers
Finite index rigidity of free-by-cyclic groups
Radhika Gupta, Nir Lazarovich
We show that a free-by-cyclic group with infinite order monodromy is finite index rigid, that is, any two isomorphic finite index subgroups have the same index.
On intersections of locally quasiconvex subgroups
Nir Lazarovich, Zachary Munro
Let be locally quasiconvex, torsion-free subgroups of a hyperbolic group . We prove can be bounded in terms of and…
Topology and dynamics of unimodular random hyperbolic manifolds
Ilya Gekhtman, Nir Lazarovich, Arie Levit +1
We investigate the relationship between the space of ends of a unimodular random hyperbolic manifold and the dynamics of its geodesic flow. We show that having two ends of infinite…
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.
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…
Finiteness of Cannon--Thurston fibers
Indranil Bhattacharyya, Rakesh Halder, Nir Lazarovich +1
Let be a proper map between proper hyperbolic metric spaces. A Cannon--Thurston map is a continuous extension . We prove that in most known sett…
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…
Rigidity of highly twisted plat diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky +1
In this paper we prove that if a knot or link has a sufficiently complicated plat projection, then that plat projection is unique. More precisely, if a knot or link has a -plat…
Ascending Chains of Free Quasiconvex Subgroups
Jack Kohav, Nir Lazarovich
We prove that a hyperbolic group cannot contain a strictly ascending chain of free quasiconvex subgroups of constant rank.
Failure of quasi-isometric rigidity for infinite-ended groups
Nir Lazarovich, Emily Stark
We prove that an infinite-ended group whose one-ended factors have finite-index subgroups and are in a family of groups with a nonzero multiplicative invariant is not quasi-isometr…
Commensurated hyperbolic subgroups
Nir Lazarovich, Alex Margolis, Mahan Mj
We show that if H is a non-elementary hyperbolic commensurated subgroup of infinite index in a hyperbolic group G, then H is virtually a free product of hyperbolic surface groups a…
Finite index rigidity of hyperbolic groups
Nir Lazarovich
We prove that the topological complexity of a finite index subgroup of a hyperbolic group is linear in its index. This follows from a more general result relating the size of the q…
CAT(0) Polygonal Complexes are 2-Median
Shaked Bader, Nir Lazarovich
Median spaces are spaces in which for every three points the three intervals between them intersect at a single point. It is well known that rank-1 affine buildings are median spac…
Highly twisted diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky
We prove that the knots and links that admit a 3-highly twisted irreducible diagram with more than two twist regions are hyperbolic. This should be compared with a result of Futer-…
Counting lattices in products of trees
Nir Lazarovich, Ivan Levcovitz, Alex Margolis
A BMW group of degree is a group that acts simply transitively on vertices of the product of two regular trees of degrees and . We show that the number of commensura…
Highly twisted plat diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky
We prove that the knots and links in the infinite set of -highly twisted -plats, with , are all hyperbolic. This should be compared with a result of Futer-Purcell…
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…
On the Chabauty space of , I: lattices and grafting
Ian Biringer, Nir Lazarovich, Arielle Leitner
This is the first of two papers on the global topology of the space of all closed subgroups of , equipped with the Chabauty topology…
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…
Surprising circles in Morse boundaries of right-angled Coxeter groups
Marius Graeber, Annette Karrer, Nir Lazarovich +1
We show that the Morse boundary of a right-angled Coxeter group may contain embedded circles that do not arise as the boundary of a Morse Fuchsian subgroup visible in the defining…