• C04 Hyperbolic groups acting sharply 2- or 3-transitively and the Burnside problem

    Until recent 'free' constructions of the PI and her collaborators, the only known sharply 2- and 3-transitive permutation groups were those arising from linear transformations of the affine or projective line. We will investigate the limitations of this class of groups. The quest for sharply 2- and 3-transitive groups in positive characteristic not arising from linear transformations leads us to the Burnside problem, for which we propose a new approach yielding much lower bounds on the exponent for infinite such groups.


  • Project Leaders & Staff

    Project Leader
    Prof. Dr. Dr. Katrin Tent
    Marco Amelio
    Dr. Benjamin Brück
    Lukas Jonuska