The Nilpotent π-length of Maximum Subgroups in Finiteπ-soluble Groups / V.S. Monakhov and O.A. Shpyrko // Vestn. Mosk. Univ., Matem. Mekhan. 2009. № 6. P. 3-8 [Moscow Univ. Math. Bulletin. Vol. 64, No 6, 2009. P. 229-234.]
A connection between π-lengths of a π-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.