Minimal subgroups and the structure of finite groups.

DOI10.1007/s11587-012-0142-4zbMath1306.20018OpenAlexW2022787619MaRDI QIDQ480320

Ping Kang

Publication date: 8 December 2014

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-012-0142-4

zbMATH Keywords

finite groupsminimal subgroups\(p\)-nilpotent groupssupersolvability\(p\)-nilpotenceweakly-supplemented 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) Maximal subgroups (20E28) Products of subgroups of abstract finite groups (20D40)

Related Items

The influence of weakly-supplemented subgroups on the structure of finite groups, On finite groups with some minimal subgroups weakly supplemented, On weakly-supplemented subgroups and the structure of finite groups.

Cites Work

• Sylow permutability in locally finite groups.
• The embedding of CAP-subgroups in 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
• M-groups and 2-groups
• Finite groups whose minimal subgroups are normal
• Endliche Gruppen I