Green correspondence and transfer theorems of Wielandt type for G- functors

DOI10.1016/0021-8693(82)90319-2zbMath0493.20005OpenAlexW2056778127MaRDI QIDQ1168417

Hiroki Sasaki

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90319-2

zbMATH Keywords

representations of finite groupsvertexGreen correspondencetransfer theoremG-functorsfinitely generated indecomposable modules

Mathematics Subject Classification ID

(p)-adic representations of finite groups (20C11) Modular representations and characters (20C20) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (11)

The Dade group of Mackey functors for \(p\)-groups ⋮ Socles and radicals of Mackey functors ⋮ A Swan length theorem and a Fong dimension theorem for Mackey algebras. ⋮ Green correspondence on centric Mackey functors over fusion systems ⋮ Kernels, inflations, evaluations, and imprimitivity of Mackey functors ⋮ Defect theory for maximal ideals and simple functors ⋮ Unnamed Item ⋮ Units of Burnside rings of elementary abelian 2-groups ⋮ Clifford theory for Mackey algebras. ⋮ Mackey functors with chain conditions ⋮ Ring of subquotients of a finite group. I: Linearization

Cites Work

• On a transfer theorem for Schur multipliers
• On G-functors. I: Transfer theorems for cohomological G-functors
• Some transfer theorems for Schur multipliers
• Character-theoretic transfer
• A transfer theorem for modular representations
• Axiomatic representation threory for finite groups
• Relative module categories for finite groups
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