A note on \(p\)-nilpotence and solvability of finite groups.

DOI10.1016/J.JALGEBRA.2008.12.004zbMath1169.20012OpenAlexW1989317104MaRDI QIDQ1014623

Wujie Shi, Jiangtao Shi, Cui Zhang

Publication date: 29 April 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.12.004

zbMATH Keywords

solvabilitysupersolvability\(p\)-nilpotence

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)

Related Items (7)

Remarks on chains of weakly closed subgroups ⋮ A note on 2-nilpotence of finite groups. ⋮ Unnamed Item ⋮ On \(p\)-nilpotence and solubility of groups. ⋮ The $p$-nilpotency of finite groups with some weakly pronormal subgroups ⋮ Nilpotent fusion systems ⋮ A note on finite groups with the indice of some maximal subgroups being primes

Cites Work

• Unnamed Item
• Unnamed Item
• On semi cover-avoiding subgroups of finite groups.
• On finite insoluble groups with nilpotent maximal subgroups
• The theory of finite groups. An introduction.
• \(p\)-nilpotence of finite groups and minimal subgroups.
• Some results on \(p\)-nilpotence and solubility of finite groups
• M-groups and 2-groups
• On Two Theorems of Thompson
• A note on \(p\)-nilpotence of finite groups

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