Mackey functions, induction from restriction functors and coinduction from transfer functors
Journal of Algebra
224 - 248
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Boltje's plus constructions extend two well-known constructions on Mackey functors, the fixed-point functor and the fixed-quotient functor. In this paper, we show that the plus constructions are induction and coinduction functors of general module theory. As an application, we construct simple Mackey functors from simple restriction functors and simple transfer functors. We also give new proofs for the classification theorem for simple Mackey functors and semisimplicity theorem of Mackey functors. © 2007 Elsevier Inc. All rights reserved.
Fixed - point functor
Simple Mackey functors
Published Version (Please cite this version)http://dx.doi.org/10.1016/j.jalgebra.2007.04.026
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