The Loewy layers of principal indecomposable modules

DOI10.1016/0021-8693(92)90161-EzbMath0788.20005OpenAlexW2087528774MaRDI QIDQ1204454

Michael Weidner

Publication date: 10 March 1993

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

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90161-e

zbMATH Keywords

\(p\)-solvable groupscomposition factorsLoewy layers\(p\)-group\(p\)-lengthprincipal indecomposable moduleJennings polynomial

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (1)

Galois connections between subgroup lattices and module lattices

Cites Work

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• Pre-Frattini groups.
• Cover-avoid subgroups in finite solvable groups
• Moduln und verschränkte Homomorphismen endlicher Gruppen.
• On the loewy series of the group algebra of groups of smallp-Length^∗

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