3 papers
math.GR2026
Non-split sharply 2- and 3-transitive groups in SL_n(\mathbb Z)
Marco Amelio, Simon André
We prove that contains a non-split sharply 2-transitive subgroup, answering a question of Glasner and Gulko. We also prove that $\mathrm{SL}_4(\mathbb{Z…
math.GR2025
Non-split sharply 2-transitive groups of bounded exponent
Marco Amelio
We construct here the first known examples of non-split sharply 2-transitive groups of bounded exponent in odd positive characteristic for every large enough prime $p \equiv 3 \pmo…
math.GR2023
Non-split sharply 2-transitive groups of odd positive characteristic
Marco Amelio, Simon André, Katrin Tent
It is well-known that every sharply 2-transitive group of characteristic 3 splits. Here we construct the first examples of non-split sharply 2-transitive groups in odd positive cha…