Small groups of finite Morley rank with involutions

Adrien Deloro (1) , Eric Jaligot (2)

1 Department of Mathematics - Rutgers School of Arts and Sciences
2 ICJ - Institut Camille Jordan

By analogy with Thompson's classification of nonsolvable finite N-groups, we classify groups of finite Morley rank with solvable local subgroups of even and mixed type. We also consider several aspects reminiscent of "small" groups of finite Morley rank of odd type.

Domaines: Théorie des groupes [math.GR]; Logique [math.LO]

Adrien Deloro, Eric Jaligot. Small groups of finite Morley rank with involutions. Journal für die reine und angewandte Mathematik, 2010, 644, pp.23-45. ⟨10.1515/CRELLE.2010.051⟩. ⟨hal-00321334v2⟩