### PUBLICACIONES

 Revista Colombiana de Matemáticas Volumen 37 [2] (2003)Páginas 51 - 63

Abstract. We give an example of an infinite simple Frobenius group G without involutions, with a trivial kernel and a nilpotent complement. Nevertheless, this group is not $\omega$- stable (not even superstable), this is the "only" property missing in order to be a counterexample to the Cherlin-Zil'ber Conjecture which says that simple $\omega$- stable groups are algebraic groups.