Permutability of minimal subgroups and \(p\)-nilpotency of finite groups.

DOI10.1007/BF02807195zbMath1048.20005OpenAlexW1982446782MaRDI QIDQ1424106

Xiu Yun Guo, Kar Ping Shum

Publication date: 8 March 2004

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

Full work available at URL: https://doi.org/10.1007/bf02807195

zbMATH Keywords

finite solvable groupsSylow subgroupsminimal subgroups\(p\)-nilpotent groupspermutable subgroupsnilpotent residuals

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) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

The $p$-nilpotency of finite groups with some weakly pronormal subgroups ⋮ THE INFLUENCE OF MINIMAL SUBGROUPS ON THE STRUCTURE OF FINITE GROUPS ⋮ Finite groups with some weakly pronormal subgroups

Cites Work

• Unnamed Item
• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• Some results on \(p\)-nilpotence and solubility of finite groups
• The influence of minimal subgroups of focal subgroups on the structure of finite groups
• Solvability of groups of odd order
• M-groups and 2-groups
• Finite groups whose minimal subgroups are normal
• A note on minimal subgroups of finite groups
• Endliche Gruppen I

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