It is proved that all groups of finite U-rank that have the descending chain condition on definable subgroups are totally transcendental. A corollary is that any stable group that is definable in an o-minimal structure is totally transcendental of finite Morley rank.
"A note on superstable groups." J. Symbolic Logic 70 (2) 661 - 663, June 2005. https://doi.org/10.2178/jsl/1120224734