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The nilpotent π-length of finite π-solvable groups with restrictions on subgroups

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Abstract

V.S. Monakhov’s conjecture concerning an estimate of the nilpotent π-length of a π-solvable group G is confirmed in the case l p (G) ≤ 1 for all p ∈ π ∖ {q} and q ∈ π. New estimates of the nilpotent π-length of a π-solvable group with a supersolvable π-Hall subgroup are also obtained.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    O. A. Shpyrko

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  1. O. A. Shpyrko
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Original Russian Text © O.A. Shpyrko, 2008, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2008, Vol. 63, No. 1, pp. 21–25.

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Shpyrko, O.A. The nilpotent π-length of finite π-solvable groups with restrictions on subgroups. Moscow Univ. Math. Bull. 63, 22–26 (2008). https://doi.org/10.1007/s11970-008-1005-9

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  • DOI: https://doi.org/10.1007/s11970-008-1005-9

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