On \(\mathcal M\)-permutable Sylow subgroups of finite groups.

zbMath1214.20022MaRDI QIDQ610641

Long Miao, Wolfgang Lempken

Publication date: 8 December 2010

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1290435341

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssaturated formationspermutable subgroupssupersoluble groups

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 (2)

The structure of finite groups with an \(\mathcal{M}\)-permutable Sylow subgroup ⋮ Properties and \(\mathcal{M}_p\)-supplemented subgroups of finite groups

Cites Work

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• On ℳ-supplemented subgroups of finite groups
• C-Supplemented subgroups of finite groups
• Endliche Gruppen I
• A Characteristic Property of Soluble Groups
• Normal \(p\)-complements for finite groups

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