Simple groups of Morley rank 3 are algebraic

Olivier Frécon (1)

1 LMA [Poitiers] - Laboratoire de mathématiques et applications [UMR 7348]

There exists no bad group (in the sense of Gregory Cherlin); namely, any simple group of Morley rank 3 is isomorphic to PSL 2 ( K ) \textrm {PSL}_2(K) for an algebraically closed field K K .

Domaines: Théorie des groupes [math.GR]

Olivier Frécon. Simple groups of Morley rank 3 are algebraic. Journal of the American Mathematical Society, 2018, 31 (3), pp.643-659. ⟨10.1090/jams/892⟩. ⟨hal-03704181⟩