Arie Levit

activity

20172021

EL_{d} (R)

for a commutative Noetherian ring

R

3 citations · 4 across the 4 of their papers we have counts for

collaborators

8 papers

math.GR2021

Effective discreteness radius of stabilisers for stationary actions

Tsachik Gelander, Arie Levit, Gregory Margulis

We prove an effective variant of the Kazhdan-Margulis theorem generalized to stationary actions of semisimple groups over local fields: the probability that the stabilizer of a ran…

math.GR2021★ 1 cited

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…

math.GR2020★ 3 cited

Characters of the group $EL_{d} (R)$ for a commutative Noetherian ring $R$

Omer Lavi, Arie Levit

Let $R$ be a commutative Noetherian ring with unit. We classify the characters of the group $EL_{d} (R)$ provided that $d$ is greater than the stable range of the ring $R$ .…

math.GR2019

Uncountably many permutation stable groups

Arie Levit, Alexander Lubotzky

In a 1937 paper B.H. Neumann constructed an uncountable family of $2$ -generated groups. We prove that all of his groups are permutation stable by analyzing the structure of their i…

math.GR2019

Infinitely presented stable groups and invariant random subgroups of metabelian groups

Arie Levit, Alexander Lubotzky

We prove that all invariant random subgroups of the lamplighter group $L$ are co-sofic. It follows that $L$ is permutation stable, providing an example of an infinitely presented s…

math.GR2018

Critical exponents of invariant random subgroups in negative curvature

Ilya Gekhtman, Arie Levit

Let $X$ be a proper geodesic Gromov hyperbolic metric space and let $G$ be a cocompact group of isometries of $X$ admitting a uniform lattice. Let $d$ be the Hausdorff dimension of…