On the loewy series of the group algebra of groups of smallp-Length∗

DOI10.1080/00927878908823786zbMath0677.20007OpenAlexW1991365891MaRDI QIDQ3832746

Urs Stammbach, Olaf Manz, Reiner Staszewski

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/00927878908823786

zbMATH Keywords

multiplicityblockgroup algebraprojective indecomposable modulesJacobson radicalfinite groupdefect groupLoewy seriesp-soluble groupsimple KG-module

Mathematics Subject Classification ID

Group rings (16S34) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (3)

The Loewy structure of certain fixpoint algebras. I ⋮ Some remarks on the loewy series of projective modules for p-solvable groups ⋮ The Loewy layers of principal indecomposable modules

Cites Work

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• Die Struktur modularer Gruppenringe endlicher Gruppen der p-Länge 1
• On p-chief factors of finite groups
• On the loewy series of the group algebra of a finite p-solvable group with p-length>1^∗
• On the Nilpotency Index of the Radical of a Group Algebra, III
• Endliche Gruppen I

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