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Derived induction and restriction theory

Mathew, Akhil ; Naumann, Niko ; Noel, Justin


Let G be a finite group. To any family F of subgroups of G, we associate a thick circle times-ideal F-Nil of the category of G -spectra with the property that every G -spectrum in F-Nil (which we call F-nilpotent) can be reconstructed from its underlying H-spectra as H varies over F. A similar result holds for calculating G-equivariant homotopy classes of maps into such spectra via an appropriate ...


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