13 citations · 38 across the 32 of their papers we have counts for
7 papers · 1 filter
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…