Fitting classes and lattice formations I

DOI10.1017/S1446788700008727zbMath1065.20029MaRDI QIDQ4820574

María Dolores Pérez-Ramos, Milagros Arroyo-Jordá

Publication date: 15 October 2004

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

zbMATH Keywords

finite soluble groupssubnormal subgroupsFitting classesprojectorssaturated formationslattice formationsproducts of Hall 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) Subnormal subgroups of abstract finite groups (20D35)

Related Items (2)

Injectors in \(\pi\)-separable groups ⋮ Carter and Gaschütz theories beyond soluble groups

Cites Work

• 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
• On the lattice of \(\mathcal F\)-subnormal subgroups
• Finite soluble groups
• On \({\mathfrak F}\)-normal subgroups of finite soluble groups
• On \({\mathfrak F}\)-critical groups
• Two questions of L. A. Shemetkov on critical groups
• The \(\mathfrak F\)-normalizers of a finite soluble group
• \(\mathfrak F\)-reducers in finite soluble groups
• On the lattice of \(\mathcal F\)-Dnormal subgroups in finite soluble groups

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