A BOUND ON THE p-LENGTH OF P-SOLVABLE GROUPS

DOI10.1017/S0017089514000196zbMath1328.20026arXiv1311.6665MaRDI QIDQ2940234

Jon González-Sánchez, Francesca Spagnuolo

Publication date: 26 January 2015

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6665

zbMATH Keywords

Sylow subgroupslower central series\(p\)-lengthscommutator subgroupfinite \(p\)-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) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

• Finite \(p\)-central groups of height \(k\).
• Omega subgroups of pro-\(p\) groups.
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem

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