V. S. Monakhov, O. A. Shpyrko, “The nilpotent $\pi$-length of maximum subgroups in finite $\pi$-soluble groups”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, Number 6,Pages 3

This article is cited in 9 papers

Mathematics

The nilpotent $\pi$-length of maximum subgroups in finite $\pi$-soluble groups

V. S. Monakhov^a, O. A. Shpyrko^b

^a Francisk Skaryna Gomel State University, Faculty of Mathematics
^b Lomonosov Moscow State University, Chernomorsky Branch

Abstract: 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.

UDC: 521.542

Received: 04.02.2008