The influence of \(\mathcal M\)-supplemented subgroups on the structure of finite groups.

DOI10.1007/S00574-009-0024-XzbMath1194.20015OpenAlexW1981640306MaRDI QIDQ1041286

Long Miao

Publication date: 2 December 2009

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-009-0024-x

zbMATH Keywords

finite groupsSylow subgroupssaturated formationssupplemented subgroupssupersoluble groupsprimary 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) Products of subgroups of abstract finite groups (20D40)

Related Items (1)

Some results on the \(\mathcal{F}\Phi\)-hypercenter of finite groups

Cites Work

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• Two sufficient conditions for supersolvability of finite groups
• New criteria for the solvability of finite groups
• Finite soluble groups
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• Nilpotent quotient groups
• A generalisation of Kramer's theorem and its applications
• Conjugacy of Odd order Hall Subgroups
• On 𝑐-supplemented maximal and minimal subgroups of Sylow subgroups of finite groups
• Endliche Gruppen I
• FINITE GROUPS WITH SOME PRIMARY SUBGROUPS F-s-SUPPLEMENTED
• On complemented subgroups of finite groups

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