The derived ∞-category of permutation modules is equivalent to modules over the Eilenberg-MacLane spectrum of the constant Mackey functor, and the equivariant modular fixed point functor recovers Balmer-Gallauer's, giving a new proof of Miller's Picard group classification for p-groups.
Walter de Gruyter & Co., Berlin, 1987, pp
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Modular fixed points in equivariant homotopy theory
The derived ∞-category of permutation modules is equivalent to modules over the Eilenberg-MacLane spectrum of the constant Mackey functor, and the equivariant modular fixed point functor recovers Balmer-Gallauer's, giving a new proof of Miller's Picard group classification for p-groups.