Die Praefrattinigruppe im Intervall eines Untergruppenverbandes. (The prefrattini group in the interval of a subgroup lattice)

DOI10.1007/BF01277056zbMath0683.20019OpenAlexW2060153107MaRDI QIDQ1824695

Hans Kurzweil

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01277056

zbMATH Keywords

maximal subgroupschief seriesfinite solvable groupH-prefrattini groupsnormal intersections

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Special subgroups (Frattini, Fitting, etc.) (20D25) Series and lattices of subgroups (20D30)

Related Items

Equivariant homotopy of posets and some applications to subgroup lattices ⋮ Combinatorial properties of intervals in finite solvable groups ⋮ Unnamed Item ⋮ The Jordan-Hölder theorem and prefrattini subgroups of finite groups ⋮ On the poset of conjugacy classes of subgroups of π-power index ⋮ The poset of conjugacy classes of subgroups in a finite solvable group ⋮ Galois connections between subgroup lattices and module lattices ⋮ On the characterization of the core of a \(\pi\)-prefrattini subgroup of a finite soluble group ⋮ A lattice theoretic characterization of prefrattini subgroups ⋮ The combinatorics and the homology of the poset of subgroups of \(p\)-power index

Cites Work

• Die Eulersche Funktion endlicher auflösbarer Gruppen
• Fonction de Möbius d'un groupe fini et anneau de Burnside. (Möbius function of a finite group and the Burnside ring)
• Pre-Frattini groups.
• On the Möbius function of a finite group