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.

Key words: finite soluble group, maximal subgroup, nilpotent length, projector, injector.

№ 6/2009