Some Conditions Under which a Finite Group Belongs to a Baer-Local Formation

DOI10.1080/00927872.2013.806519zbMath1316.20013OpenAlexW2020984381MaRDI QIDQ2876277

Alexander N. Skiba, Wen-Bin Guo, Xiao-yu Chen

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2013.806519

zbMATH Keywords

finite groupsSylow subgroupssaturated formations\(p\)-nilpotent groupsgeneralized Fitting subgroupBaer-local formationssupersoluble groupsquasisupersoluble groupsSE-quasinormal 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) Special subgroups (Frattini, Fitting, etc.) (20D25) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Cyclicity conditions for \(G\)-chief factors of normal subgroups of a group \(G\).
• A characterization of the hypercyclically embedded subgroups of finite groups.
• On \(\pi\)-quasinormally embedded subgroups of finite group.
• On the \(\mathcal X\Phi\)-hypercentre of finite groups.
• Sylow-Gruppen und Subnormalteiler endlicher Gruppen
• The Frattini module
• Subgroups permutable with all Sylow subgroups
• Sufficient conditions for supersolubility of finite groups
• On minimal subgroups of finite groups
• Uncancellative factorizations of Baer-local formations.
• The influence of \(\pi\)-quasinormality of some subgroups of a finite group.
• Finite groups with some \(c\)-normal minimal subgroups
• Indices of elements and normal structure of finite groups.
• \(C\)-normality of groups and its properties
• A criterion for the p-solubility of finite groups
• On \(p\)-nilpotency of finite groups with some subgroups \(\pi\)-quasinormally embedded.
• On \(c\)-normality of certain subgroups of prime power order of finite groups.
• On quasinormal subgroups of finite groups
• ON c-NORMAL MAXIMAL AND MINIMAL SUBGROUPS OF SYLOW SUBGROUPS OF FINITE GROUPS
• On Weaklys-permutably Embedded Subgroups of Finite Groups
• On some classes of finite quasi-ℱ-groups
• On maximal subgroups of Sylow subgroups of inite groups
• Onc-Normal Maximal and Minimal Subgroups of Sylow Subgroups of Finite Groups. II
• The influence of minimal subgroups on the structure of a finite group
• Classes of Finite Groups
• Endliche Gruppen I
• The influence of minimal subgroups on the structure of finite groups
• On weakly \(s\)-permutable subgroups of finite groups.
• On \(S\)-quasinormally embedded subgroups of finite groups