Some results on \(p\)-nilpotence and solubility of finite groups

DOI10.1006/jabr.1999.8274zbMath0961.20016OpenAlexW2027427531MaRDI QIDQ1570358

Adolfo Ballester-Bolinches, Xiu Yun Guo

Publication date: 29 May 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8274

zbMATH Keywords

soluble groupsfinite groupsSylow subgroups\(p\)-nilpotent groupsnilpotent maximal subgroups

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 (28)

Remarks on chains of weakly closed subgroups ⋮ On \(p\)-nilpotence of finite groups. ⋮ A note on 2-nilpotence of finite groups. ⋮ On finite \(p\)-nilpotent groups ⋮ The order of the product of two elements ⋮ On the focal subgroup of a saturated fusion system ⋮ Unnamed Item ⋮ On some results in the theory of finite partially soluble groups ⋮ \(p\)-nilpotency criteria for some verbal subgroups ⋮ Finite groups with non-nilpotent maximal subgroups. ⋮ On \(p\)-nilpotence and solubility of groups. ⋮ The $p$-nilpotency of finite groups with some weakly pronormal subgroups ⋮ \(p\)-nilpotence of finite groups and minimal subgroups. ⋮ Permutability of minimal subgroups and \(p\)-nilpotency of finite groups. ⋮ Unnamed Item ⋮ On P_𝔉-Supplemented subgroups of finite groups ⋮ Finite groups with some minimal subgroups are ℋC-subgroups ⋮ Minimal subgroups and the structure of finite groups. ⋮ On the \(p\)-length of some finite \(p\)-soluble groups. ⋮ On nearly M-supplemented primary subgroups of finite groups ⋮ Engel condition and \(p\)-nilpotency of finite groups ⋮ Nilpotent fusion systems ⋮ Normal \(\pi\)-complements for finite groups. ⋮ A generalization of Burnside's \(p\)-nilpotency criterion ⋮ A note on \(p\)-nilpotence of finite groups ⋮ A note on \(p\)-nilpotence and solvability of finite groups. ⋮ Some necessary and sufficient conditions for p-nilpotence of finite groups ⋮ Gradewise Properties of Subgroups and Their Applications

Cites Work

• Unnamed Item
• On finite insoluble groups with nilpotent maximal subgroups
• M-groups and 2-groups
• On Two Theorems of Thompson

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