Non-split sharply 2- and 3-transitive groups in SL_n(\mathbb Z)

Marco Amelio, Simon André

We prove that ${\mathrm{SL}}_3(\mathbb{Z})$ contains a non-split sharply 2-transitive subgroup, answering a question of Glasner and Gulko. We also prove that $\mathrm{SL}_4(\mathbb{Z…