On the Asymptotic Number of Generators of High Rank Arithmetic Lattices

Alexander Lubotzky, Raz Slutsky

Abert, Gelander and Nikolov [AGN17] conjectured that the number of generators $d(\Gamma )$ of a lattice $\Gamma$ in a high rank simple Lie group $H$ grows sub-linearly with $v=\mu (H/\Gamma )$,…