On Fitting \(p\)-groups with all proper subgroups satisfying an outer commutator law. (Q435951)

A Fitting group is a group generated by its normal nilpotent subgroups. \textit{A. O. Asar} proved [J. Lond. Math. Soc., II. Ser. 61, No. 2, 412-422 (2000; Zbl 0961.20031)] that if \(G\) is a minimal non-hypercentral Fitting \(p\)-group all of whose proper subgroups are soluble, then \(G\) is soluble. In this paper the authors generalize this result by considering certain classes of Fitting \(p\)-groups all of whose proper subgroups are soluble and proving that such groups are distinct from their derived subgroups.