On the \(p\)-length of some finite \(p\)-soluble groups.

DOI10.1007/s11856-014-1095-yzbMath1317.20012OpenAlexW2054872045MaRDI QIDQ480805

Luis M. Ezquerro, Adolfo Ballester-Bolinches, Ramón Esteban-Romero

Publication date: 11 December 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-014-1095-y

zbMATH Keywords

finite groups\(p\)-nilpotent groups\(p\)-lengths\(p\)-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) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items

On finite \(p\)-nilpotent groups, On bounds for the \(p\)-length of finite \(p\)-soluble groups, On \(p\)-nilpotency of hyperfinite groups.

Uses Software

• GAP

Cites Work

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• Finite \(p\)-central groups of height \(k\).
• Products of finite groups.
• Finite \(p\)-groups which determine \(p\)-nilpotency locally.
• Finite soluble groups
• Some results on \(p\)-nilpotence and solubility of finite groups
• On subgroups of hypercentral type of finite groups.
• Endliche Gruppen I