On \({\mathcal F}\)-subnormal subgroups and \({\mathcal F}\)-residuals of finite soluble groups

DOI10.1006/JABR.1996.0375zbMath0870.20015OpenAlexW2030069716MaRDI QIDQ1125894

Mari Carmen Pedraza-Aguilera, Adolfo Ballester-Bolinches, María Dolores Pérez-Ramos

Publication date: 8 September 1997

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.0375

zbMATH Keywords

maximal subgroupssubnormal subgroupssaturated formationslocal formationsformation functions

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Residual properties and generalizations; residually finite groups (20E26) Subnormal subgroups of abstract finite groups (20D35) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

Fitting classes and lattice formations I ⋮ On 𝓕-subnormal subgroups and Frattini-like subgroups of a finite group ⋮ On formations of finite groups with the generalized Wielandt property for residuals II ⋮ On formations of finite groups with the generalised Wielandt property for residuals. ⋮ Finite trifactorized groups and formations ⋮ On the lattice of \(\mathcal F\)-Dnormal subgroups in finite soluble groups ⋮ Nilpotent-like fitting formations of finite soluble groups

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