13 citations · 23 across the 13 of their papers we have counts for
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math.GR2019
Uncountably many permutation stable groups
Arie Levit, Alexander Lubotzky
In a 1937 paper B.H. Neumann constructed an uncountable family of -generated groups. We prove that all of his groups are permutation stable by analyzing the structure of their i…
math.GR2019★ 3 cited
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 are co-sofic. It follows that is permutation stable, providing an example of an infinitely presented s…
math.GR2019★ 13 cited
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…