Engel condition and \(p\)-nilpotency of finite groups

DOI10.1007/s10114-021-0022-5OpenAlexW3200594085MaRDI QIDQ2230745

Lei Wang, Zheng Tian Qiu, ShouHong Qiao

Publication date: 28 September 2021

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-021-0022-5

zbMATH Keywords

finite group\(p\)-nilpotencyEngel condition\(p\)-nilpotent residual

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) Finite nilpotent groups, (p)-groups (20D15)

Cites Work

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• On finite \(p\)-nilpotent groups
• A generalization of Burnside's \(p\)-nilpotency criterion
• Finite \(p\)-groups which determine \(p\)-nilpotency locally.
• The primitive soluble permutation groups of degree less than 256
• The theory of finite groups. An introduction.
• Some results on \(p\)-nilpotence and solubility of finite groups
• M-groups and 2-groups
• Some sufficient conditions for p-nilpotency of a finite group
• On a Theorem of Frobenius

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