We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.
@article{urn:eudml:doc:42485, title = {On finite soluble groups verifying an extremal condition on subgroups.}, journal = {Collectanea Mathematica}, volume = {42}, year = {1991}, pages = {163-169}, zbl = {0774.20016}, mrnumber = {MR1203396}, language = {en}, url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42485} }
Tuccillo, Fernando. On finite soluble groups verifying an extremal condition on subgroups.. Collectanea Mathematica, Tome 42 (1991) pp. 163-169. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42485/