On the cover relationship for local interior \(G\)-algebras.

DOI10.1007/S10958-009-9651-4zbMath1184.20012OpenAlexW1981013542MaRDI QIDQ844544

Wenlin Huang

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9651-4

zbMATH Keywords

finite groupsdefect groupstensor productsblocksBrauer correspondenceverticesmodular group algebrasblock algebrasGreen correspondencecovers of moduleslocal interior \(G\)-algebras

Mathematics Subject Classification ID

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

Cites Work

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• The Green correspondence and normal subgroups
• Some properties of interior G-algebras
• Block theory with modules
• Pointed groups and construction of characters
• On interior \(G\)-algebras
• Blocks, normal subgroups, and Brauer's third main theorem
• Some remarks on defect groups
• On Scott Modules and p-Permutation Modules: An Approach through the Brauer Morphism
• Restrictions of Modules to Local Subgroups

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