On p-chief factors of finite groups

DOI10.1080/00927878508823282zbMath0575.20012OpenAlexW2078516938MaRDI QIDQ3695447

Wolfgang Willems

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1080/00927878508823282

zbMATH Keywords

group algebrachief seriesprincipal blockp-solvable groupsp-chief factorsLoewy layerp-constrained groupsprincipal indecomposable FG-module

Mathematics Subject Classification ID

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

Related Items (8)

\(p^ *\)-theory and modular representation theory ⋮ Trivial intersection of blocks and nilpotent subgroups ⋮ Split abelian chief factors and first degree cohomology for Lie algebras ⋮ Chief factors of finite groups with order a multiple of_p ⋮ On the loewy series of the group algebra of groups of smallp-Length^∗ ⋮ On a short exact sequence and extensions of irreducible \(\mathbb{K} G\)-modules ⋮ Split chief factors and cohomology ⋮ On the second Loewy term of projectives of a group algebra

Cites Work

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• On the principal indecomposables of a modular group algebra
• On the projectives of a group algebra
• Projective Modules, Filtrations and Cartan Invariants
• Principal blocks of groups with dihedral sylow 2-subgroups

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