Characterizations of finite groups with \(X\)-\(s\)-semipermutable subgroups.

DOI10.1007/s40840-015-0198-xzbMath1348.20025OpenAlexW1137890066MaRDI QIDQ310682

Dapeng Yu, Jin-Bao Li

Publication date: 8 September 2016

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-015-0198-x

zbMATH Keywords

finite groupsSylow subgroupspermutable subgroupssemipermutable subgroups\(p\)-nilpotencesupersolubility

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)

Cites Work

• On Lockett pairs and Lockett conjecture for \(\pi\)-soluble Fitting classes.
• New characterizations of \(p\)-nilpotency and Sylow tower groups.
• Finite groups with some \(\mathcal M\)-permutable primary subgroups.
• On the Sylow normalizers of some simple classical groups.
• The influence of \(X\)-\(s\)-semipermutable subgroups on the structure of finite groups.
• Weakly \(c\)-permutable subgroups of finite groups.
• Notes on non-vanishing elements of finite solvable groups.
• The influence of \(CAP^*\)-subgroups on the solvability of finite groups.
• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• The influence of SS-quasinormality of some subgroups on the structure of finite groups.
• Finite groups with \(X\)-permutable maximal subgroups of Sylow subgroups.
• New characterizations of finite supersoluble groups.
• On finite products of groups and supersolubility.
• The influence of \(X\)-semipermutability of subgroups on the structure of finite groups.
• Influence of \(\pi\)-quasinormality on maximal subgroups of Sylow subgroups of Fitting subgroup of a finite group
• Finite soluble groups
• Influence of normality on maximal subgroups of Sylow subgroups of a finite group
• Subgroups permutable with all Sylow subgroups
• \(G\)-covering subgroup systems for the classes of supersoluble and nilpotent groups.
• Finite groups whose maximal subgroups of Sylow \(p\)-subgroups admit a \(p\)-solvable supplement.
• On \(S\)-propermutable subgroups of finite groups.
• \(X\)-semipermutable subgroups of finite groups.
• Conditionally permutable subgroups and supersolubility of finite groups.
• Schur–Zassenhaus Theorem for X-Permutable Subgroups
• Endliche Gruppen I
• The influence of minimal subgroups on the structure of finite groups
• On weakly \(s\)-permutable subgroups of finite groups.
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