On ℳ-Permutable Maximal Subgroups of Sylow Subgroups of Finite Groups

DOI10.1080/00927870903222533zbMath1214.20023OpenAlexW2131693952MaRDI QIDQ3060823

Long Miao, Wolfgang Lempken

Publication date: 10 December 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903222533

zbMATH Keywords

finite groupsmaximal subgroupsSylow subgroupssaturated formationspermutable subgroupssupplemented 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 (1)

The structure of finite groups with an \(\mathcal{M}\)-permutable Sylow subgroup

Cites Work

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• Two sufficient conditions for supersolvability of finite groups
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• Finite groups with some subgroups of Sylow subgroups \(c\)-supplemented
• Nilpotent quotient groups
• A generalisation of Kramer's theorem and its applications
• On maximal subgroups of Sylow subgroups of inite groups
• Conjugacy of Odd order Hall Subgroups
• FINITE GROUPS WITH SOME PRIMARY SUBGROUPS F-s-SUPPLEMENTED

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