Pseudofinite primitive permutation groups acting on one-dimensional sets

par Tingxiang Zou (UCBL)

jeudi 2 mars 2017, 16:15 → 17:15 Europe/Paris

Salle 125 (ICJ, bât. Braconnier, UCBL - La Doua)

In stable theories, the transitive action of a group on a strongly minimal set is classified by Hrushovski as the following: MR(G)=1, G^o is abelian and acts regularly on X; MR(G)=2, there is a definable field F and G=AGL_1(F); MR(G)=3, G=PSL_2(F). In 2011, Elwes et al. generalized this classification to pseudofinite primitive permutation groups with supersimple finite-rank theories. In this talk, we will give a further generalization to pseudofinite supersimple/superrosy infinite-rank theories.