Kernels, inflations, evaluations, and imprimitivity of Mackey functors

DOI10.1016/J.JALGEBRA.2007.09.027zbMath1149.19003OpenAlexW2099837497MaRDI QIDQ2425426

Ergün Yaraneri

Publication date: 5 May 2008

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

Full work available at URL: http://hdl.handle.net/11693/11653

zbMATH Keywords

evaluationinflationkernelinductionMackey functorMackey algebrafaithful Mackey functorFong's theoremimprimitive Mackey functorprojective Mackey functor

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22)

Related Items (3)

The socle of a projective Mackey functor for a \(p\)-group ⋮ Socles and radicals of Mackey functors ⋮ Extension groups between simple Mackey functors

Cites Work

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• A Swan length theorem and a Fong dimension theorem for Mackey algebras.
• Polynomial representations of \(GL_n\)
• Green correspondence and transfer theorems of Wielandt type for G- functors
• Green functors and \(G\)-sets
• Clifford theory for Mackey algebras.
• Axiomatic representation threory for finite groups
• Intrinsic Characterizations of Some Additive Functors
• Solvable Groups and Modular Representation Theory
• The Structure of Mackey Functors

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