Split chief factors and cohomology

DOI10.1016/0022-4049(87)90037-5zbMath0615.20031OpenAlexW1990543394MaRDI QIDQ1820870

Urs Stammbach

Publication date: 1987

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(87)90037-5

zbMATH Keywords

finite groupchief seriessimple kG-modulep- solvablesplit chief factor

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) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Split abelian chief factors and first degree cohomology for Lie algebras ⋮ On a short exact sequence and extensions of irreducible \(\mathbb{K} G\)-modules ⋮ On the second Loewy term of projectives of a group algebra

Cites Work

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• Cohomological characterisations of finite solvable and nilpotent groups
• On p-chief factors of finite groups
• Maximal subgroups of finite groups

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