\(G\)-algebras, Clifford theory, and the Green correspondence

DOI10.1016/S0021-8693(05)80006-7zbMath0835.20013OpenAlexW2023097369MaRDI QIDQ1891493

Laurence Barker

Publication date: 11 April 1996

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

Full work available at URL: https://doi.org/10.1016/s0021-8693(05)80006-7

zbMATH Keywords

finite groupsClifford theoryGreen correspondence\(G\)-algebrasBurry-Carlson-Puig theoremBrauer's (extended) first main theoremdefect pointed subgroups

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 (2)

Inertial blocks and equivariant basic Morita equivalences ⋮ On stable orthogonal decompositions of idempotents

Cites Work

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• Modular representation theory: New trends and methods
• Local fusions in block source algebras
• Pointed groups and construction of modules
• Duality in G-algebras
• G-algebras, Jacobson radical and almost split sequences
• Pointed groups and construction of characters
• Defect theory for maximal ideals and simple functors
• Open problems in the representation theory of finite groups
• The parametrization of interior algebras
• On Thévenaz' parametrization of interior \(G\)-algebras
• Modules with simple multiplicity modules

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