Groups of finite Morley rank with solvable local subgroups

Adrien Deloro , Eric Jaligot (1)

1 ICJ - Institut Camille Jordan

We lay down the fundations of the theory of groups of finite Morley rank in which local subgroups are solvable and we proceed to the local analysis of these groups. We prove the main Uniqueness Theorem, analogous to the Bender method in finite group theory, and derive its corollaries. We also consider homogeneous cases as well as torsion.

Mots clés: Cherlin-Zilber Conjecture; Morley rank; Feit-Thompson Theorem; Bender method

Domaines: Théorie des groupes [math.GR]

Adrien Deloro, Eric Jaligot. Groups of finite Morley rank with solvable local subgroups. 2007. ⟨hal-00250070v2⟩