The nilpotent \pi-length of maximum subgroups in finite \pi-soluble groups / V. S. Monakhov, O. A. Shpyrko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 6. P. 3-8
[Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
A connection between \pi-lengths of a \pi-soluble group
and its maximal subgroup is established. The results are applied
to the corresponding projectors and injectors in soluble groups.