The nilpotent \(\pi\)-length of maximal subgroups in finite \(\pi\)-soluble groups.

DOI10.3103/S0027132209060011zbMath1304.20026MaRDI QIDQ2513100

O. A. Shpyrko, Victor S. Monakhov

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

zbMATH Keywords

maximal subgroupsfinite soluble groupsprojectorsinjectors

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (5)

The derived \(\pi\)-length, nilpotent \(\pi\)-length, and simple \(\pi\)-length of finite \(\pi\)-soluble groups. ⋮ The derived \(p\)-length of finite \(p\)-soluble groups. ⋮ On some arithmetic properties of nite groups ⋮ On the generalized \(\sigma\)-Fitting subgroup of finite groups ⋮ Supersolvability of finite factorizable groups with cyclic Sylow subgroups in the factors.

Cites Work

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• Finite soluble groups
• Injectors of finite groups
• On the nilpotent length of maximal subgroups of finite soluble groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• On the nilpotent π-length of a finite π-solvable group

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