Characterizations of schunck classes of finite groups

DOI10.1080/00927879308824676zbMath0790.20032OpenAlexW2083291098MaRDI QIDQ5287569

Luis M. Ezquerro, Adolfo Ballester-Bolinches

Publication date: 17 August 1993

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

Full work available at URL: https://doi.org/10.1080/00927879308824676

zbMATH Keywords

Schunck classesSylow \(p\)-subgroupnormally embedded subgroupnormally embedded projectors

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)

Related Items (21)

On \(\mathcal F\Phi^*\)-hypercentral subgroups of finite groups. ⋮ On the Frattini subgroup of a finite group ⋮ Finite groups with given \(s\)-embedded and \(n\)-embedded subgroups. ⋮ On saturated formations of finite groups with a restricted cover and avoidance property ⋮ The diameter of the generating graph of a finite soluble group ⋮ A characterization of the hypercyclically embedded subgroups of finite groups. ⋮ On the intersection of the \(\mathcal F\)-maximal subgroups and the generalized \(\mathcal F\)-hypercentre of a finite group. ⋮ On the \(\mathcal F\)-hypercentre and the intersection of all \(\mathcal F\)-maximal subgroups of a finite group. ⋮ \(d\)-wise generation of prosolvable groups. ⋮ On weakly s-semipermutable subgroups of finite groups. ⋮ A class of generalised finite \(T\)-groups. ⋮ On second minimal subgroups of Sylow subgroups of finite groups. ⋮ On the intersection of all maximal \(\mathcal F\)-subgroups of a finite group. ⋮ On complete sublattices of formations of finite groups ⋮ On weakly \(s\)-permutable subgroups of finite groups. ⋮ On the \(\mathcal X\Phi\)-hypercentre of finite groups. ⋮ On the theory of \(\mathfrak F\)-centrality of chief factors and \(\mathfrak F\)-hypercentre for Fitting classes. ⋮ On Schunck Classes of Finite Groups with Cover and Avoidance Property on Abelian Chief Factors ⋮ On partial CAP-subgroups of finite groups. ⋮ Finite groups with generalized Ore supplement conditions for primary subgroups. ⋮ On \(\sigma\)-subnormal and \(\sigma\)-permutable subgroups of finite groups.

Cites Work

• \({\mathfrak h}\)-normalizers and local definitions of saturated formations of finite groups
• On metanilpotent Fitting classes
• Finite soluble groups
• The Frattini module
• Charakterisierungen einiger Schunckklassen endlicher auflösbarer Gruppen. II
• Zur Theorie der Formationen endlicher auflösbarer Gruppen
• Two questions in the theory of formations

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