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20172026
most citedOn the Minimal Size of a Generating Set of Lattices in Lie Groups

3 citations · 3 across the 8 of their papers we have counts for

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Showing 2023Show all

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math.GR2023

A Quantitative Selberg's Lemma

Tsachik Gelander, Raz Slutsky

We show that an arithmetic lattice in a semi-simple Lie group contains a torsion-free subgroup of index where is the co-volume of the lattice. We prove…

math.GR2023

The Space of Traces of the Free Group and Free Products of Matrix Algebras

Joav Orovitz, Raz Slutsky, Itamar Vigdorovich

We show that the space of traces of the free group on generators is a Poulsen simplex, i.e., every trace is a pointwise limit of extreme traces. This f…

math.GR2023

Spectral gap and character limits in arithmetic groups

Arie Levit, Raz Slutsky, Itamar Vigdorovich

We establish vanishing results for limits of characters in various discrete groups, most notably irreducible lattices in higher rank semisimple Lie groups. As an application, we sh…