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Nilpotence and descent in equivariant stable homotopy theory

Mathew, Akhil ; Naumann, Niko ; Noel, Justin



Abstract

Let G be a finite group and let F be a family of subgroups of G. We introduce a class of G-equivariant spectra that we call F-nilpotent. This definition fits into the general theory of torsion, complete, and nilpotent objects in a symmetric monoidal stable infinity-category, with which we begin. We then develop some of the basic properties of F-nilpotent G-spectra, which are explored further in ...

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