A generalization of Burnside's \(p\)-nilpotency criterion

DOI10.1515/jgth-2016-0028zbMath1368.20014OpenAlexW2473712603MaRDI QIDQ528918

Ning Su, Yang Ming Li, Yan Ming Wang

Publication date: 17 May 2017

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2016-0028

zbMATH Keywords

finite group\(p\)-nilpotent groupEngel conditionquaternion-free group

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Finite nilpotent groups, (p)-groups (20D15) Engel conditions (20F45)

Related Items (4)

The $p$-nilpotency of finite groups with some weakly pronormal subgroups ⋮ Engel condition and \(p\)-nilpotency of finite groups ⋮ Some sufficient conditions for p-nilpotency of a finite group ⋮ Finite groups with some weakly pronormal subgroups

Cites Work

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• Finite \(p\)-central groups of height \(k\).
• Finite \(p\)-groups which determine \(p\)-nilpotency locally.
• The theory of finite groups. An introduction.
• Some results on \(p\)-nilpotence and solubility of finite groups
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Endliche Gruppen I
• THE $c$-SUPPLEMENTED PROPERTY OF FINITE GROUPS

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