The derived \(p\)-length of finite \(p\)-soluble groups.

DOI10.3103/S0027132214050015zbMath1312.20014OpenAlexW2055339115MaRDI QIDQ2018041

O. A. Shpyrko

Publication date: 24 March 2015

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

Full work available at URL: https://doi.org/10.3103/s0027132214050015

zbMATH Keywords

Sylow subgroupsfinite \(p\)-soluble groupsderived \(p\)-lengths

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

• 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
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