Lattice-theoretic characterizations of the group classes \(\mathfrak N^{k-1}\mathfrak A\) and \(\mathfrak N^k\) for \(k\geq 2\).

DOI10.1007/s00013-010-0190-5zbMath1228.20013OpenAlexW2077768549MaRDI QIDQ623432

Roland Schmidt

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1007/s00013-010-0190-5

zbMATH Keywords

finite soluble groupssubgroup latticesnilpotent-by-Abelian groupsprojectivitiesiterated Fitting subgroupslattice-theoretic characterizations

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 (1)

On the subgroup lattice index problem in finite groups.

Cites Work

• Unnamed Item
• Zur Theorie der endlichen auflösbaren Gruppen
• On the subgroup index problem in finite groups.
• Subgroup lattices of groups
• Über die \(\Phi\)-Untergruppe endlicher Gruppen
• Endliche Gruppen I
• On the Lattice of Subgroups of Finite Groups

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