On the second Loewy term of projectives of a group algebra

DOI10.1007/BF02937293zbMath0685.20011MaRDI QIDQ1825953

Julio P. Lafuente

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

group algebraprojective modulesJacobson radicalfinite groupLoewy layersFrattini subgroupprojective coverprincipal p-blockirreducible KG- modulecentralizers of modules

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Special subgroups (Frattini, Fitting, etc.) (20D25) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (4)

EXTENSIONS OF IRREDUCIBLE -MODULES ⋮ Prefrattini subgroups and crowns ⋮ On a short exact sequence and extensions of irreducible \(\mathbb{K} G\)-modules ⋮ On complemented nonabelian chief factors of a finite group

Cites Work

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• Some applications of the first cohomology group
• On the principal indecomposables of a modular group algebra
• Pre-Frattini groups.
• On the projectives of a group algebra
• The Frattini module
• Split chief factors and cohomology
• Cohomological topics in group theory.
• Crowns and centralizers of chief factors of finite groups
• On p-chief factors of finite groups
• Moduln und verschränkte Homomorphismen endlicher Gruppen.
• Chief factors of finite groups with order a multiple of_p
• The Kernel of a Block of a Group Algebra

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