Some local properties of \(\omega\)-stable groups (Q1102270)

The author shows that if G is a locally solvable group of finite Morley rank then G is solvable, and that if G is locally nilpotent of finite Morley rank and also connected, then G is nilpotent. It is pointed out that the semidirect product of \({\mathbb{Z}}(2^{\infty})\) and \({\mathbb{Z}}_ 2\), where the latter acts on the former by inversion shows that the connectedness assumption cannot be dropped.