The Fitting subgroup of a stable group
The author proves the following results: The Fitting subgroup of a stable group is definable. The generalised Fitting subgroup (i.e. the central product of the Fitting subgroup and the layer) of such a group is type- definable. The radical (i.e. the maximal soluble normal subgroup) of a superstable group exists and is definable; it is also the maximal locally soluble normal subgroup.
scientific article; zbMATH DE number 783879