17 citations · 27 across the 5 of their papers we have counts for
6 papers
Regularity of profinite isomorphisms of hyperbolic 3-manifolds
Liam Hanany
We strengthen a result of Liu from his papers arXiv:2011.09412, arXiv:2105.01022, by proving that profinite isomorphisms of hyperbolic 3-manifolds are regular in the sense of Boile…
Characteristic Subgroup Growth
Liam Hanany, Alexander Lubotzky
Let denote the number of characteristic subgroups of index at most in a finitely generated group . In response to a question of I. Rivin we show that if…
The Yang-Baxter Equation and Characteristic Finite Simple Quotients of the Free Group of Rank
Liam Hanany
We show that infinitely many alternating groups arise as quotients of the free group of rank 2, with kernel a characteristic subgroup. We also show that such simple quotients exist…
Non-uniform higher-rank lattices are character rigid
Alon Dogon, Michael Glasner, Yuval Gorfine +2
We establish character rigidity for all non-uniform higher-rank irreducible lattices in semisimple groups of characteristic other than 2. This implies stabilizer rigidity for proba…
Word Measures on Symmetric Groups
Liam Hanany, Doron Puder
Fix a word in a free group on generators. A -random permutation in the symmetric group is obtained by sampling independent uniformly random permutations $σ…
Some Orbits of Free Words that are Determined by Measures on Finite Groups
Liam Hanany, Chen Meiri, Doron Puder
Every word in a free group induces a probability measure on every finite group in a natural manner. It is an open problem whether two words that induce the same measure on ever…