The derived \(\pi\)-length, nilpotent \(\pi\)-length, and simple \(\pi\)-length of finite \(\pi\)-soluble groups.

DOI10.1007/S10958-013-1490-7zbMath1279.20027OpenAlexW2036868969MaRDI QIDQ376166

O. A. Shpyrko

Publication date: 4 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1490-7

zbMATH Keywords

Hall subgroupsSylow subgroupsderived lengths\(p\)-lengthsnilpotent lengthsfinite \(\pi\)-soluble groups

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30)

Cites Work

• Finite groups with a seminormal Hall subgroup.
• The nilpotent \(\pi\)-length of maximal subgroups in finite \(\pi\)-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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