On the lattice of \(\mathcal F\)-Dnormal subgroups in finite soluble groups

DOI10.1006/JABR.2001.8725zbMath0998.20020OpenAlexW2068463612MaRDI QIDQ5945619

María Dolores Pérez-Ramos, Milagros Arroyo-Jordá

Publication date: 29 November 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8725

zbMATH Keywords

soluble groupsfinite groupssubnormal subgroupssaturated formationslattices of subgroupslattice formations

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) Series and lattices of subgroups (20D30) Subnormal subgroups of abstract finite groups (20D35)

Related Items (5)

Fitting classes and lattice formations I ⋮ Fitting classes and lattice formations II ⋮ Injectors in \(\pi\)-separable groups ⋮ On two classes of generalised finite T-groups ⋮ Carter and Gaschütz theories beyond soluble groups

Cites Work

• Unnamed Item
• A note on saturated formations
• Finite groups all of whose subgroups are \({\mathcal F}\)-subnormal or \({\mathcal F}\)-subabnormal
• On \({\mathcal F}\)-subnormal subgroups and \({\mathcal F}\)-residuals of finite soluble groups
• \({\mathcal F}\)-subnormal closure
• On the lattice of \(\mathcal F\)-subnormal subgroups
• Finite soluble groups
• On \({\mathfrak F}\)-normal subgroups of finite soluble groups
• The \(\mathfrak F\)-normalizers of a finite soluble group
• On the theory of Fitting classes of finite soluble groups
• On 𝓕-subnormal subgroups and Frattini-like subgroups of a finite group
• Nilpotent-like fitting formations of finite soluble groups

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