Geodesic
On the nilpotent $\pi$-length of a finite $\pi$-solvable group
Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 145-152

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New estimates for the nilpotent $\pi$-length of a finite $\pi$-solvable group with the nilpotent commutant of the Hall $\pi$-subgroup are obtained. A connection between the nilpotent $\pi$-length of a finite $\pi$-solvable group and the derivative length of its Hall $\pi$-subgroup of an odd order is established. 
@article{DM_2001_13_3_a9,
     author = {V. S. Monakhov and O. A. Shpyrko},
     title = {On the nilpotent $\pi$-length of a finite $\pi$-solvable group},
     journal = {Diskretnaya Matematika},
     pages = {145--152},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2001_13_3_a9/}
}
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V. S. Monakhov; O. A. Shpyrko. On the nilpotent $\pi$-length of a finite $\pi$-solvable group. Diskretnaya Matematika, Tome 13 (2001) no. 3, pp. 145-152. http://geodesic.mathdoc.fr/item/DM_2001_13_3_a9/