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/