Frattini extensions of finite groups and formations1

DOI10.1080/00927879708825900zbMath0886.20010OpenAlexW2035239104MaRDI QIDQ4361098

L. A. Shemetkov

Publication date: 12 May 1998

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

Full work available at URL: https://doi.org/10.1080/00927879708825900

zbMATH Keywords

saturated formations\(p\)-groupscomposition screenscentral seriessaturated composition formations

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite nilpotent groups, (p)-groups (20D15)

Related Items (11)

Finite groups with three nonconjugate maximal formational subgroups ⋮ Local definitions of formations of finite groups. ⋮ On questions posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in finite group theory ⋮ Formations and products of \(F(G)\)-subnormal subgroups of finite solvable groups ⋮ Classes of monoids with applications: formations of languages and multiply local formations of finite groups ⋮ Factorization Theory of 1-Generated ω-Composition Formations ⋮ ON PARTIALLY SATURATED FORMATIONS AND RESIDUALS OF FINITE GROUPS ⋮ ON 𝔛-SATURATED FORMATIONS OF FINITE GROUPS ⋮ On a question of l. a. shemetkov ⋮ Formations of finite $C_\pi $-groups ⋮ On the \(\sigma \)-nilpotent hypercenter of finite groups

Cites Work

• Local formations of finite groups.
• Zur Theorie der endlichen auflösbaren Gruppen
• Finite soluble groups
• The Frattini module
• Every saturated formation is a local formation
• Gaschütz functors on finite soluble groups
• Über modulare Darstellungen endlicher Gruppen, die von freien Gruppen induziert werden
• TWO DIRECTIONS IN THE DEVELOPMENT OF THE THEORY OF NON-SIMPLE FINITE GROUPS
• GRADUATED FORMATIONS OF GROUPS
• Endliche Gruppen I
• Unnamed Item
• Unnamed Item

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