Lie rank in groups of finite Morley rank with solvable local subgroups

Adrien Deloro (1) , Eric Jaligot (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 IF - Institut Fourier

We prove a general dichotomy theorem for groups of finite Morley rank with solvable local subgroups and of Prüfer p-rank at least 2, leading either to some p-strong embedding, or to the Prüfer p-rank being exactly 2.

Keywords: Cherlin-Zilber Conjecture; Morley Rank; Bender Uniqueness Theorem

Domains: Group Theory [math.GR]

Adrien Deloro, Eric Jaligot. Lie rank in groups of finite Morley rank with solvable local subgroups. 2013. ⟨hal-00850182v1⟩