Derivative p-length of finite p-solvable groups / O. A. Shpyrko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2014. № 5. P. 3-7 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
The derived p-length of a finite p-soluble group is introduced and its elementary properties are described. New estimates of the derived p-length of a finite p-soluble group are obtained depending on the construction of Sylow p-subgroups.
Key words: finite group, p-soluble group, derived p-length, Sylow p-subgroup.