Block theory with modules

DOI10.1016/0021-8693(80)90247-1zbMath0435.20006OpenAlexW1970870998MaRDI QIDQ1140156

J. L. Alperin, David W. Burry

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90247-1

zbMATH Keywords

defect groupsBrauer correspondenceverticesGreen's theoremblock theoryblock of a group algebrafirst main theoremmodules in a block

Mathematics Subject Classification ID

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

Related Items

A characterization of blocks with vertices ⋮ The Green correspondence and normal subgroups ⋮ On the cover relationship for local interior \(G\)-algebras. ⋮ Representations of finite groups ⋮ Induced crossed products ⋮ The ring and module forms of the Brauer correspondence ⋮ Restrictions of Modules to Local Subgroups ⋮ Block multiplicities and the Brauer correspondence ⋮ Local characterization of block covers and their applications ⋮ A local characterization of the Alperin-Burry correspondence ⋮ On the distribution of the components of a reduced module into blocks ⋮ Components of induced modules ⋮ Scott modules and lower defect groups

Cites Work

• Unnamed Item
• A note on the Brauer correspondence
• On the Brauer correspondence
• A transfer theorem for modular representations
• Some remarks on defect groups
• Blocks of modular representations
• On minimal vertices and the degrees of irreducible characters

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