PRIMITIVE SUBGROUPS AND PST-GROUPS

DOI10.1017/S0004972713000592zbMath1315.20011OpenAlexW2145242855MaRDI QIDQ5419381

Ramón Esteban-Romero, Adolfo Ballester-Bolinches, James C. Beidleman

Publication date: 6 June 2014

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972713000592

zbMATH Keywords

Hall subgroupsfinite groupsnilpotent groupssupersolvable groups\(T_0\)-groupstransitive normalityprimitive groupsFrattini subgroupprimitive 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)

Cites Work

• Finite groups with certain subgroups of Sylow subgroups complemented.
• On some classes of supersoluble groups.
• Contributions to the theory of groups of finite order
• Remark on a recent paper of Ø. Ore
• On a Class of p-Soluble Groups
• ON PRODUCTS OF GROUPS FOR WHICH NORMALITY IS A TRANSITIVE RELATION ON THEIR FRATTINI FACTOR GROUPS
• A NOTE ON PRIMITIVE SUBGROUPS OF FINITE SOLVABLE GROUPS
• Generalizations of Groups in which Normality Is Transitive
• A Characterization of Finite Nilpotent Groups
• A Note on Supersoluble Groups

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